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Finding the Fourth Proportional to 462.53, 638.27 and 252.71

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Solution

The fourth proportional to 462.53, 638.27 and 252.71 is: 348.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.53 : 638.27 = 252.71 : x
  2. Step 2: Convert to fraction form
    462.53/638.27 = 252.71/x
  3. Step 3: Cross multiply
    462.53x = 638.27 × 252.71
  4. Step 4: Simplify right side
    462.53x = 161,292.76
  5. Step 5: Solve for x
    x = 161,292.76/462.53
  6. Step 6: Final answer
    x = 348.72

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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.