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Finding the Fourth Proportional to 361.79, 541.46 and 217.61

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Solution

The fourth proportional to 361.79, 541.46 and 217.61 is: 325.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.79 : 541.46 = 217.61 : x
  2. Step 2: Convert to fraction form
    361.79/541.46 = 217.61/x
  3. Step 3: Cross multiply
    361.79x = 541.46 × 217.61
  4. Step 4: Simplify right side
    361.79x = 117,827.11
  5. Step 5: Solve for x
    x = 117,827.11/361.79
  6. Step 6: Final answer
    x = 325.68

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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.