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Finding the Fourth Proportional to 624.76, 937.14 and 408.76

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Solution

The fourth proportional to 624.76, 937.14 and 408.76 is: 613.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.76 : 937.14 = 408.76 : x
  2. Step 2: Convert to fraction form
    624.76/937.14 = 408.76/x
  3. Step 3: Cross multiply
    624.76x = 937.14 × 408.76
  4. Step 4: Simplify right side
    624.76x = 383,065.35
  5. Step 5: Solve for x
    x = 383,065.35/624.76
  6. Step 6: Final answer
    x = 613.14

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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.