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Finding the Fourth Proportional to 616.72, 924.78 and 356.68

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Solution

The fourth proportional to 616.72, 924.78 and 356.68 is: 534.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.72 : 924.78 = 356.68 : x
  2. Step 2: Convert to fraction form
    616.72/924.78 = 356.68/x
  3. Step 3: Cross multiply
    616.72x = 924.78 × 356.68
  4. Step 4: Simplify right side
    616.72x = 329,850.53
  5. Step 5: Solve for x
    x = 329,850.53/616.72
  6. Step 6: Final answer
    x = 534.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.