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Finding the Fourth Proportional to 393.26, 542.20 and 268.74

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Solution

The fourth proportional to 393.26, 542.20 and 268.74 is: 370.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.26 : 542.20 = 268.74 : x
  2. Step 2: Convert to fraction form
    393.26/542.20 = 268.74/x
  3. Step 3: Cross multiply
    393.26x = 542.20 × 268.74
  4. Step 4: Simplify right side
    393.26x = 145,710.83
  5. Step 5: Solve for x
    x = 145,710.83/393.26
  6. Step 6: Final answer
    x = 370.52

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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.