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Finding the Fourth Proportional to 499.03, 747.32 and 411.83

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Solution

The fourth proportional to 499.03, 747.32 and 411.83 is: 616.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.03 : 747.32 = 411.83 : x
  2. Step 2: Convert to fraction form
    499.03/747.32 = 411.83/x
  3. Step 3: Cross multiply
    499.03x = 747.32 × 411.83
  4. Step 4: Simplify right side
    499.03x = 307,768.80
  5. Step 5: Solve for x
    x = 307,768.80/499.03
  6. Step 6: Final answer
    x = 616.73

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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.