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Finding the Fourth Proportional to 361.81, 541.63 and 233.29

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Solution

The fourth proportional to 361.81, 541.63 and 233.29 is: 349.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.81 : 541.63 = 233.29 : x
  2. Step 2: Convert to fraction form
    361.81/541.63 = 233.29/x
  3. Step 3: Cross multiply
    361.81x = 541.63 × 233.29
  4. Step 4: Simplify right side
    361.81x = 126,356.86
  5. Step 5: Solve for x
    x = 126,356.86/361.81
  6. Step 6: Final answer
    x = 349.24

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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.