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Finding the Fourth Proportional to 439.23, 658.49 and 165.17

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Solution

The fourth proportional to 439.23, 658.49 and 165.17 is: 247.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.23 : 658.49 = 165.17 : x
  2. Step 2: Convert to fraction form
    439.23/658.49 = 165.17/x
  3. Step 3: Cross multiply
    439.23x = 658.49 × 165.17
  4. Step 4: Simplify right side
    439.23x = 108,758.68
  5. Step 5: Solve for x
    x = 108,758.68/439.23
  6. Step 6: Final answer
    x = 247.61

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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.