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Finding the Fourth Proportional to 462.14, 691.78 and 345.90

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Solution

The fourth proportional to 462.14, 691.78 and 345.90 is: 517.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.14 : 691.78 = 345.90 : x
  2. Step 2: Convert to fraction form
    462.14/691.78 = 345.90/x
  3. Step 3: Cross multiply
    462.14x = 691.78 × 345.90
  4. Step 4: Simplify right side
    462.14x = 239,286.70
  5. Step 5: Solve for x
    x = 239,286.70/462.14
  6. Step 6: Final answer
    x = 517.78

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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.