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Finding the Fourth Proportional to 367.02, 547.29 and 363.73

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Solution

The fourth proportional to 367.02, 547.29 and 363.73 is: 542.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.02 : 547.29 = 363.73 : x
  2. Step 2: Convert to fraction form
    367.02/547.29 = 363.73/x
  3. Step 3: Cross multiply
    367.02x = 547.29 × 363.73
  4. Step 4: Simplify right side
    367.02x = 199,062.15
  5. Step 5: Solve for x
    x = 199,062.15/367.02
  6. Step 6: Final answer
    x = 542.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.