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Finding the Fourth Proportional to 461.71, 637.50 and 363.70

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Solution

The fourth proportional to 461.71, 637.50 and 363.70 is: 502.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.71 : 637.50 = 363.70 : x
  2. Step 2: Convert to fraction form
    461.71/637.50 = 363.70/x
  3. Step 3: Cross multiply
    461.71x = 637.50 × 363.70
  4. Step 4: Simplify right side
    461.71x = 231,858.75
  5. Step 5: Solve for x
    x = 231,858.75/461.71
  6. Step 6: Final answer
    x = 502.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.