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Finding the Fourth Proportional to 498.66, 748.07 and 224.74

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Solution

The fourth proportional to 498.66, 748.07 and 224.74 is: 337.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.66 : 748.07 = 224.74 : x
  2. Step 2: Convert to fraction form
    498.66/748.07 = 224.74/x
  3. Step 3: Cross multiply
    498.66x = 748.07 × 224.74
  4. Step 4: Simplify right side
    498.66x = 168,121.91
  5. Step 5: Solve for x
    x = 168,121.91/498.66
  6. Step 6: Final answer
    x = 337.15

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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.