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Finding the Fourth Proportional to 362.44, 542.94 and 232.12

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Solution

The fourth proportional to 362.44, 542.94 and 232.12 is: 347.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.44 : 542.94 = 232.12 : x
  2. Step 2: Convert to fraction form
    362.44/542.94 = 232.12/x
  3. Step 3: Cross multiply
    362.44x = 542.94 × 232.12
  4. Step 4: Simplify right side
    362.44x = 126,027.23
  5. Step 5: Solve for x
    x = 126,027.23/362.44
  6. Step 6: Final answer
    x = 347.72

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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.