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Finding the Fourth Proportional to 439.27, 658.05 and 396.07

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Solution

The fourth proportional to 439.27, 658.05 and 396.07 is: 593.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.27 : 658.05 = 396.07 : x
  2. Step 2: Convert to fraction form
    439.27/658.05 = 396.07/x
  3. Step 3: Cross multiply
    439.27x = 658.05 × 396.07
  4. Step 4: Simplify right side
    439.27x = 260,633.86
  5. Step 5: Solve for x
    x = 260,633.86/439.27
  6. Step 6: Final answer
    x = 593.33

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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.