
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
Points $R$ and $S$ are located on line segment $CD$. $R$ divides $CD$ in the ratio $3:5$, and $S$ defines the division of $CD$ in the ratio $4:7$. If $RS = 3$, calculate the length of $CD$.
**A)** 240
**B)** 255
**C)** 264
**D)** 270
**E)** 300

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