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Finding the Fourth Proportional to 361.22, 541.82 and 289.53

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Solution

The fourth proportional to 361.22, 541.82 and 289.53 is: 434.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.22 : 541.82 = 289.53 : x
  2. Step 2: Convert to fraction form
    361.22/541.82 = 289.53/x
  3. Step 3: Cross multiply
    361.22x = 541.82 × 289.53
  4. Step 4: Simplify right side
    361.22x = 156,871.70
  5. Step 5: Solve for x
    x = 156,871.70/361.22
  6. Step 6: Final answer
    x = 434.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.