The resistance, R, of a wire varies directly as its length and inversely as the square of its diameter. If the resistance of a wire 2800ft long with a diameter of 0.21 inches is 322 ohms, what is the resistance of 3600ft of the same type of wire with a diameter of 0.24 inches? (Leave k in fraction form or round to at least 3 decimal places. Round off your final answer to the nearest hundredth.)