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Finding the Fourth Proportional to 372.69, 514.22 and 232.83

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Solution

The fourth proportional to 372.69, 514.22 and 232.83 is: 321.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.69 : 514.22 = 232.83 : x
  2. Step 2: Convert to fraction form
    372.69/514.22 = 232.83/x
  3. Step 3: Cross multiply
    372.69x = 514.22 × 232.83
  4. Step 4: Simplify right side
    372.69x = 119,724.68
  5. Step 5: Solve for x
    x = 119,724.68/372.69
  6. Step 6: Final answer
    x = 321.24

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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.