just please, if you can, when you next boot up your pc, go into the bios screen, try and find the system agent in advanced settings and make sure that the primary display is set to pcie, im not 100% sure why this is being a pain for you as it really shouldnt be an issue, but im sure its some silly setting somewhere not working right. sad thing is taht if most of us forum users were hands on we could probably sort it quite quickly but we can only do so much from behind a screen.
also, if you have two pcie slots on your mobo, plug the 270x into the second one, keep the gt640 in the first as we know that works, then go into device manager and scan for new hardware, if its not picking up the 270x at all, then there may be a fault with the card.