Hi and welcome, yes those are compatible, Ive done a spec for you using OCers site, so prices are in pounds rather than euros or dollars but around the same sort of budget, gives you an idea
XFX ATI Radeon HD 4870 1024MB GDDR5 PCI-Express Graphics Card £105.00 (£91.30)
AMD Phenom II X3 Tri Core 720 Black Edition 2.80GHz (Socket AM3) - Retail £97.99 (£85.21)
Gigabyte GA-MA770T-UD3P AMD 770 (Socket AM3) PCI-Express DDR3 Motherboard £76.99 (£66.95)
Patriot G Series AMD 4GB (2x2GB) PC3-10666 1333MHz Dual Channel (PGS34G1333LLKA) £70.99 (£61.73)
OCZ ModXStream Pro 600w Silent SLI Ready Modular Power Supply £66.99 (£58.25)
Samsung SpinPoint F3 500GB SATA-II 16MB Cache - OEM (HD502HJ) £41.99 (£36.51)
Antec 200 Two Hundred Ultimate Gaming Case - Black (No PSU) £37.98 (£33.03)
Sony Optiarc AD-7241S 24x DVD±RW SATA Lightscribe Optical Drive (Black) - OEM £18.99 (£16.51)
Sub Total : £449.49
Shipping cost assumes delivery to UK Mainland with:
DPD Next Day Parcel
(This can be changed during checkout) Shipping : £12.50
VAT is being charged at 15% VAT : £69.30
Total : £531.29
OK graphics card, yes thats a good choice of card, the one Ive included is a different brand purely as OcUK dont have the MSI one, there shouldnt be too much difference though
CPU thats a decent CPU, but if you can, get a hold of the 720 rather than the 710, it is a black edition chip which means the CPU multiplier is unlocked, making OCing easier, if you cant the 710 is still good, but the 720 is not normally much more and worth the small amount extra
Motherboard, thats a very good board youve included
RAM you want 4 gig of dual channel DDR3 RAM, it should be rated as 1.9v or specify for AMD/AM3 builds, Ive included this Patriot stuff as its instock on OcUK site
PSU, you can cope with 500W, Ive included 600W as the 500W one is out of stock atm, do not skimp here though, it seems like an easy place to save money but it can end up costing you more in the long run, get a decent branded one
Hard rive, with a budget build as youre doing, I wouldnt spend such a large chunk of your money on a raptor, a decent 500gig 7200rpm drive will suffice
Case The one Ive included is a bit ugly but should perform well, again a decent brand mid tower case is your best bet, you dont have to spend too much money but if you go for an unbranded/own branded case its likely to have poor cooling.
Have a read of
this thread Ive written, I think youll find it useful