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Finding the Fourth Proportional to 406.46, 609.76 and 132.52

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Solution

The fourth proportional to 406.46, 609.76 and 132.52 is: 198.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.46 : 609.76 = 132.52 : x
  2. Step 2: Convert to fraction form
    406.46/609.76 = 132.52/x
  3. Step 3: Cross multiply
    406.46x = 609.76 × 132.52
  4. Step 4: Simplify right side
    406.46x = 80,805.40
  5. Step 5: Solve for x
    x = 80,805.40/406.46
  6. Step 6: Final answer
    x = 198.80

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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.