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Finding the Fourth Proportional to 499.18, 747.68 and 411.53

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Solution

The fourth proportional to 499.18, 747.68 and 411.53 is: 616.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.18 : 747.68 = 411.53 : x
  2. Step 2: Convert to fraction form
    499.18/747.68 = 411.53/x
  3. Step 3: Cross multiply
    499.18x = 747.68 × 411.53
  4. Step 4: Simplify right side
    499.18x = 307,695.04
  5. Step 5: Solve for x
    x = 307,695.04/499.18
  6. Step 6: Final answer
    x = 616.40

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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.