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Finding the Fourth Proportional to 361.46, 541.76 and 231.59

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Solution

The fourth proportional to 361.46, 541.76 and 231.59 is: 347.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.46 : 541.76 = 231.59 : x
  2. Step 2: Convert to fraction form
    361.46/541.76 = 231.59/x
  3. Step 3: Cross multiply
    361.46x = 541.76 × 231.59
  4. Step 4: Simplify right side
    361.46x = 125,466.39
  5. Step 5: Solve for x
    x = 125,466.39/361.46
  6. Step 6: Final answer
    x = 347.11

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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.