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Finding the Fourth Proportional to 361.10, 542.05 and 337.60

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Solution

The fourth proportional to 361.10, 542.05 and 337.60 is: 506.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.10 : 542.05 = 337.60 : x
  2. Step 2: Convert to fraction form
    361.10/542.05 = 337.60/x
  3. Step 3: Cross multiply
    361.10x = 542.05 × 337.60
  4. Step 4: Simplify right side
    361.10x = 182,996.08
  5. Step 5: Solve for x
    x = 182,996.08/361.10
  6. Step 6: Final answer
    x = 506.77

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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.