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Finding the Fourth Proportional to 406.57, 609.78 and 132.65

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Solution

The fourth proportional to 406.57, 609.78 and 132.65 is: 198.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.57 : 609.78 = 132.65 : x
  2. Step 2: Convert to fraction form
    406.57/609.78 = 132.65/x
  3. Step 3: Cross multiply
    406.57x = 609.78 × 132.65
  4. Step 4: Simplify right side
    406.57x = 80,890.48
  5. Step 5: Solve for x
    x = 80,890.48/406.57
  6. Step 6: Final answer
    x = 198.96

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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.