Convert from rute [Germany] to astronomical unit

Unit Definition (rute [Germany])
The rute is a traditional German unit of distance corresponding to the English rod. In fact, "rute" is the German word for rod. The rute had varying lengths, as short as 10 fuss (German feet) and as long as 16 fuss. This could be anywhere from about 3 meters to 4.5 meters.

Unit Definition (astronomical unit)
An Astronomical Unit is approximately the mean distance between the Earth and the Sun. It is a derived constant and used to indicate distances within the solar system. Its formal definition is the radius of an unperturbed circular orbit a massless body would revolve about the sun in 2*(pi)/k days (i.e., 365.2568983.... days), where k is defined as the Gaussian constant exactly equal to 0.01720209895. Since an AU is based on radius of a circular orbit, one AU is actually slightly less than the average distance between the Earth and the Sun (approximately 150 million km or 93 million miles).