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Finding the Fourth Proportional to 362.62, 543.67 and 232.77

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Solution

The fourth proportional to 362.62, 543.67 and 232.77 is: 348.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.62 : 543.67 = 232.77 : x
  2. Step 2: Convert to fraction form
    362.62/543.67 = 232.77/x
  3. Step 3: Cross multiply
    362.62x = 543.67 × 232.77
  4. Step 4: Simplify right side
    362.62x = 126,549.48
  5. Step 5: Solve for x
    x = 126,549.48/362.62
  6. Step 6: Final answer
    x = 348.99

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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.