
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given a trapezoid $ABCD$. On its lateral side $CD$, a point $M$ is chosen such that $CM / MD = 4 / 3$. It turns out that the segment $BM$ divides the diagonal $AC$ into two segments whose lengths also have the ratio $4 / 3$. What values can the ratio $AD / BC$ take? If necessary, round the answer to 0.01 or write the answer as a simple fraction.

Present the answer in LaTex format: \boxed{Your answer}
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