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Finding the Fourth Proportional to 498.97, 748.54 and 225.19

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Solution

The fourth proportional to 498.97, 748.54 and 225.19 is: 337.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.97 : 748.54 = 225.19 : x
  2. Step 2: Convert to fraction form
    498.97/748.54 = 225.19/x
  3. Step 3: Cross multiply
    498.97x = 748.54 × 225.19
  4. Step 4: Simplify right side
    498.97x = 168,559.98
  5. Step 5: Solve for x
    x = 168,559.98/498.97
  6. Step 6: Final answer
    x = 337.82

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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.