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Finding the Fourth Proportional to 372.24, 513.76 and 232.42

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Solution

The fourth proportional to 372.24, 513.76 and 232.42 is: 320.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.24 : 513.76 = 232.42 : x
  2. Step 2: Convert to fraction form
    372.24/513.76 = 232.42/x
  3. Step 3: Cross multiply
    372.24x = 513.76 × 232.42
  4. Step 4: Simplify right side
    372.24x = 119,408.10
  5. Step 5: Solve for x
    x = 119,408.10/372.24
  6. Step 6: Final answer
    x = 320.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.