
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
Three material points with masses $m_{1}=100$ g, $m_{2}=200$ g, and $m_{3}=400$ g are arranged consecutively on a straight line. The distance between points 1 and 2 is 50 cm. The distance between points 2 and 3 is 200 cm. Determine the distance from point 1 to the center of mass of this system of three points.

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