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Finding the Fourth Proportional to 439.20, 658.34 and 179.38

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Solution

The fourth proportional to 439.20, 658.34 and 179.38 is: 268.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.20 : 658.34 = 179.38 : x
  2. Step 2: Convert to fraction form
    439.20/658.34 = 179.38/x
  3. Step 3: Cross multiply
    439.20x = 658.34 × 179.38
  4. Step 4: Simplify right side
    439.20x = 118,090.49
  5. Step 5: Solve for x
    x = 118,090.49/439.20
  6. Step 6: Final answer
    x = 268.88

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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.