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Should be fine so long as a quality make.
My Tagan 480w powered the following:
q6600 at 3.8ghz
2 x 2gb ram
p35 Abit Ip35rpo
Laing D5 waterpump
7 x 120mm fans
4 x hard drives
2 x optical drive
1 x floppy drive
1 x 4870 (overclocked)
1 x soundbalaster audigy
1 x wireless card
However, I added a blu ray writer and that was just a little too much for my psu and my max overclock dropped on the q6600.
AHA! The last straw! Got an enermax 480 so as I have less than you I hope I'll be ok! *pray*....
Its more what amount of Amps you 12 V rail/rails can put out. I've noticed in gpu-z that the 4870 can me sitting at 40+ Amps
you sure? I only had 28 amps on my 12v rail on my psu and it worked fine.