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Finding the Fourth Proportional to 616.14, 924.70 and 410.68

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Solution

The fourth proportional to 616.14, 924.70 and 410.68 is: 616.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.14 : 924.70 = 410.68 : x
  2. Step 2: Convert to fraction form
    616.14/924.70 = 410.68/x
  3. Step 3: Cross multiply
    616.14x = 924.70 × 410.68
  4. Step 4: Simplify right side
    616.14x = 379,755.80
  5. Step 5: Solve for x
    x = 379,755.80/616.14
  6. Step 6: Final answer
    x = 616.35

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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.