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Finding the Fourth Proportional to 616.59, 922.72 and 478.76

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Solution

The fourth proportional to 616.59, 922.72 and 478.76 is: 716.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.59 : 922.72 = 478.76 : x
  2. Step 2: Convert to fraction form
    616.59/922.72 = 478.76/x
  3. Step 3: Cross multiply
    616.59x = 922.72 × 478.76
  4. Step 4: Simplify right side
    616.59x = 441,761.43
  5. Step 5: Solve for x
    x = 441,761.43/616.59
  6. Step 6: Final answer
    x = 716.46

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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.