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Finding the Fourth Proportional to 408.80, 611.92 and 332

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Solution

The fourth proportional to 408.80, 611.92 and 332 is: 496.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.80 : 611.92 = 332 : x
  2. Step 2: Convert to fraction form
    408.80/611.92 = 332/x
  3. Step 3: Cross multiply
    408.80x = 611.92 × 332
  4. Step 4: Simplify right side
    408.80x = 203,157.44
  5. Step 5: Solve for x
    x = 203,157.44/408.80
  6. Step 6: Final answer
    x = 496.96

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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.