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Finding the Fourth Proportional to 498.69, 748.24 and 449.48

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Solution

The fourth proportional to 498.69, 748.24 and 449.48 is: 674.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.69 : 748.24 = 449.48 : x
  2. Step 2: Convert to fraction form
    498.69/748.24 = 449.48/x
  3. Step 3: Cross multiply
    498.69x = 748.24 × 449.48
  4. Step 4: Simplify right side
    498.69x = 336,319.66
  5. Step 5: Solve for x
    x = 336,319.66/498.69
  6. Step 6: Final answer
    x = 674.41

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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.