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Finding the Fourth Proportional to 635.71, 953.71 and 202.87

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Solution

The fourth proportional to 635.71, 953.71 and 202.87 is: 304.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.71 : 953.71 = 202.87 : x
  2. Step 2: Convert to fraction form
    635.71/953.71 = 202.87/x
  3. Step 3: Cross multiply
    635.71x = 953.71 × 202.87
  4. Step 4: Simplify right side
    635.71x = 193,473.36
  5. Step 5: Solve for x
    x = 193,473.36/635.71
  6. Step 6: Final answer
    x = 304.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.