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Finding the Fourth Proportional to 621.20, 932.24 and 312.80

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Solution

The fourth proportional to 621.20, 932.24 and 312.80 is: 469.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.20 : 932.24 = 312.80 : x
  2. Step 2: Convert to fraction form
    621.20/932.24 = 312.80/x
  3. Step 3: Cross multiply
    621.20x = 932.24 × 312.80
  4. Step 4: Simplify right side
    621.20x = 291,600.79
  5. Step 5: Solve for x
    x = 291,600.79/621.20
  6. Step 6: Final answer
    x = 469.41

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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.