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Finding the Fourth Proportional to 372.32, 558.72 and 281.24

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Solution

The fourth proportional to 372.32, 558.72 and 281.24 is: 422.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.32 : 558.72 = 281.24 : x
  2. Step 2: Convert to fraction form
    372.32/558.72 = 281.24/x
  3. Step 3: Cross multiply
    372.32x = 558.72 × 281.24
  4. Step 4: Simplify right side
    372.32x = 157,134.41
  5. Step 5: Solve for x
    x = 157,134.41/372.32
  6. Step 6: Final answer
    x = 422.04

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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.