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Finding the Fourth Proportional to 372.41, 513.82 and 232.66

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Solution

The fourth proportional to 372.41, 513.82 and 232.66 is: 321.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.41 : 513.82 = 232.66 : x
  2. Step 2: Convert to fraction form
    372.41/513.82 = 232.66/x
  3. Step 3: Cross multiply
    372.41x = 513.82 × 232.66
  4. Step 4: Simplify right side
    372.41x = 119,546.62
  5. Step 5: Solve for x
    x = 119,546.62/372.41
  6. Step 6: Final answer
    x = 321.01

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Why These Related Problems?

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