The board specifications if not found in the manual will indicate the memory it will run. For an answer the make and model board would be needed here in order to look over the specs on it.
if its the same type of ram... like 184pin, or 240pin... then it should.
if its ddr433 and standard for the motherboard is ddr400, then it might run at ddr400 instead of specified speeds, but yes it will work.
The detailed specs show that it runs DDR266/333/400 with no reference to the PC3500 being supported. http://us.giga-byte.com/MotherBoard/Products/Products_Spec_GA-K8N Pro-SLI.htm
If the memory is not 184pin it won't even fit. If you did get DDR433 and it was able to work it would be backclocked to 400mhz for sure. And you would have to make sure the voltage setting in the bios was 2.6v.
Most boards that seem to run PC3500 are Socket 754 models from the product specs I've looked over. Even S939 boards run DDR400 if not DDR2. The best way to be sure on any board is to go to the manufacturer's support site to look over the tech docs there. It can be a little reading at tmes though.