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Finding the Fourth Proportional to 361.20, 541.08 and 232.68

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Solution

The fourth proportional to 361.20, 541.08 and 232.68 is: 348.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.20 : 541.08 = 232.68 : x
  2. Step 2: Convert to fraction form
    361.20/541.08 = 232.68/x
  3. Step 3: Cross multiply
    361.20x = 541.08 × 232.68
  4. Step 4: Simplify right side
    361.20x = 125,898.49
  5. Step 5: Solve for x
    x = 125,898.49/361.20
  6. Step 6: Final answer
    x = 348.56

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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.