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Finding the Fourth Proportional to 498.96, 748.56 and 225.24

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Solution

The fourth proportional to 498.96, 748.56 and 225.24 is: 337.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.96 : 748.56 = 225.24 : x
  2. Step 2: Convert to fraction form
    498.96/748.56 = 225.24/x
  3. Step 3: Cross multiply
    498.96x = 748.56 × 225.24
  4. Step 4: Simplify right side
    498.96x = 168,605.65
  5. Step 5: Solve for x
    x = 168,605.65/498.96
  6. Step 6: Final answer
    x = 337.91

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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.