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Finding the Fourth Proportional to 542.02, 748.41 and 365.13

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Solution

The fourth proportional to 542.02, 748.41 and 365.13 is: 504.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.02 : 748.41 = 365.13 : x
  2. Step 2: Convert to fraction form
    542.02/748.41 = 365.13/x
  3. Step 3: Cross multiply
    542.02x = 748.41 × 365.13
  4. Step 4: Simplify right side
    542.02x = 273,266.94
  5. Step 5: Solve for x
    x = 273,266.94/542.02
  6. Step 6: Final answer
    x = 504.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.