\[\boxed{\mathbf{356}\mathbf{.}}\]
\[1)\ \frac{1}{3} \rightarrow 3;\]
\[\frac{4}{9} \cdot 3 = \frac{4}{3}.\]
\[2)\ 28 \rightarrow \frac{1}{28};\]
\[7 \cdot \frac{1}{28} = \frac{1}{4}.\]
\[3)\ 1\frac{5}{9} = \frac{14}{9} \rightarrow \frac{9}{14};\]
\[\frac{2}{11} \cdot \frac{9}{14} = \frac{1 \cdot 9}{11 \cdot 7} = \frac{9}{77}.\]