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Finding the Fourth Proportional to 439.24, 658.87 and 131.10

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Solution

The fourth proportional to 439.24, 658.87 and 131.10 is: 196.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.24 : 658.87 = 131.10 : x
  2. Step 2: Convert to fraction form
    439.24/658.87 = 131.10/x
  3. Step 3: Cross multiply
    439.24x = 658.87 × 131.10
  4. Step 4: Simplify right side
    439.24x = 86,374.56
  5. Step 5: Solve for x
    x = 86,374.56/439.24
  6. Step 6: Final answer
    x = 196.65

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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.