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Finding the Fourth Proportional to 362.71, 543.66 and 232.30

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Solution

The fourth proportional to 362.71, 543.66 and 232.30 is: 348.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.71 : 543.66 = 232.30 : x
  2. Step 2: Convert to fraction form
    362.71/543.66 = 232.30/x
  3. Step 3: Cross multiply
    362.71x = 543.66 × 232.30
  4. Step 4: Simplify right side
    362.71x = 126,292.22
  5. Step 5: Solve for x
    x = 126,292.22/362.71
  6. Step 6: Final answer
    x = 348.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.