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Finding the Fourth Proportional to 498.90, 747 and 440.49

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Solution

The fourth proportional to 498.90, 747 and 440.49 is: 659.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.90 : 747 = 440.49 : x
  2. Step 2: Convert to fraction form
    498.90/747 = 440.49/x
  3. Step 3: Cross multiply
    498.90x = 747 × 440.49
  4. Step 4: Simplify right side
    498.90x = 329,046.03
  5. Step 5: Solve for x
    x = 329,046.03/498.90
  6. Step 6: Final answer
    x = 659.54

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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.