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Finding the Fourth Proportional to 406.25, 609.32 and 132.33

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Solution

The fourth proportional to 406.25, 609.32 and 132.33 is: 198.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.25 : 609.32 = 132.33 : x
  2. Step 2: Convert to fraction form
    406.25/609.32 = 132.33/x
  3. Step 3: Cross multiply
    406.25x = 609.32 × 132.33
  4. Step 4: Simplify right side
    406.25x = 80,633.93
  5. Step 5: Solve for x
    x = 80,633.93/406.25
  6. Step 6: Final answer
    x = 198.48

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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.