The manufacturer of color televisions can sell $1600$ sets to his dealers at $$478$ each. If the price is $$350,$ he can sell $2400$ sets. The total cost of producing $x$ television sets is $C(x)=3800+328x-0\mathrm{.}09x^2.$ Assuming the demand function is linear, find the price per set that will maximize profit. Round your answer to the nearest cent, if necessary.