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Finding the Fourth Proportional to 439.75, 658.91 and 422.90

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Solution

The fourth proportional to 439.75, 658.91 and 422.90 is: 633.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.75 : 658.91 = 422.90 : x
  2. Step 2: Convert to fraction form
    439.75/658.91 = 422.90/x
  3. Step 3: Cross multiply
    439.75x = 658.91 × 422.90
  4. Step 4: Simplify right side
    439.75x = 278,650.23
  5. Step 5: Solve for x
    x = 278,650.23/439.75
  6. Step 6: Final answer
    x = 633.65

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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.