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Finding the Fourth Proportional to 462.71, 638.10 and 296.97

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Solution

The fourth proportional to 462.71, 638.10 and 296.97 is: 409.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.71 : 638.10 = 296.97 : x
  2. Step 2: Convert to fraction form
    462.71/638.10 = 296.97/x
  3. Step 3: Cross multiply
    462.71x = 638.10 × 296.97
  4. Step 4: Simplify right side
    462.71x = 189,496.56
  5. Step 5: Solve for x
    x = 189,496.56/462.71
  6. Step 6: Final answer
    x = 409.54

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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.