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Finding the Fourth Proportional to 499.74, 748.24 and 337.10

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Solution

The fourth proportional to 499.74, 748.24 and 337.10 is: 504.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.74 : 748.24 = 337.10 : x
  2. Step 2: Convert to fraction form
    499.74/748.24 = 337.10/x
  3. Step 3: Cross multiply
    499.74x = 748.24 × 337.10
  4. Step 4: Simplify right side
    499.74x = 252,227.12
  5. Step 5: Solve for x
    x = 252,227.12/499.74
  6. Step 6: Final answer
    x = 504.72

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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.