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Finding the Fourth Proportional to 408.20, 611.88 and 397.66

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Solution

The fourth proportional to 408.20, 611.88 and 397.66 is: 596.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.20 : 611.88 = 397.66 : x
  2. Step 2: Convert to fraction form
    408.20/611.88 = 397.66/x
  3. Step 3: Cross multiply
    408.20x = 611.88 × 397.66
  4. Step 4: Simplify right side
    408.20x = 243,320.20
  5. Step 5: Solve for x
    x = 243,320.20/408.20
  6. Step 6: Final answer
    x = 596.08

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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.