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Finding the Fourth Proportional to 406.42, 609.59 and 132.47

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Solution

The fourth proportional to 406.42, 609.59 and 132.47 is: 198.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.42 : 609.59 = 132.47 : x
  2. Step 2: Convert to fraction form
    406.42/609.59 = 132.47/x
  3. Step 3: Cross multiply
    406.42x = 609.59 × 132.47
  4. Step 4: Simplify right side
    406.42x = 80,753.97
  5. Step 5: Solve for x
    x = 80,753.97/406.42
  6. Step 6: Final answer
    x = 198.70

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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.