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Finding the Fourth Proportional to 408.32, 612.40 and 151.76

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Solution

The fourth proportional to 408.32, 612.40 and 151.76 is: 227.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.32 : 612.40 = 151.76 : x
  2. Step 2: Convert to fraction form
    408.32/612.40 = 151.76/x
  3. Step 3: Cross multiply
    408.32x = 612.40 × 151.76
  4. Step 4: Simplify right side
    408.32x = 92,937.82
  5. Step 5: Solve for x
    x = 92,937.82/408.32
  6. Step 6: Final answer
    x = 227.61

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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.