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Finding the Fourth Proportional to 361.53, 541.08 and 217.35

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Solution

The fourth proportional to 361.53, 541.08 and 217.35 is: 325.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.53 : 541.08 = 217.35 : x
  2. Step 2: Convert to fraction form
    361.53/541.08 = 217.35/x
  3. Step 3: Cross multiply
    361.53x = 541.08 × 217.35
  4. Step 4: Simplify right side
    361.53x = 117,603.74
  5. Step 5: Solve for x
    x = 117,603.74/361.53
  6. Step 6: Final answer
    x = 325.29

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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.