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Finding the Fourth Proportional to 393.52, 542.24 and 269.20

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Solution

The fourth proportional to 393.52, 542.24 and 269.20 is: 370.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.52 : 542.24 = 269.20 : x
  2. Step 2: Convert to fraction form
    393.52/542.24 = 269.20/x
  3. Step 3: Cross multiply
    393.52x = 542.24 × 269.20
  4. Step 4: Simplify right side
    393.52x = 145,971.01
  5. Step 5: Solve for x
    x = 145,971.01/393.52
  6. Step 6: Final answer
    x = 370.94

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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.