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Finding the Fourth Proportional to 393.29, 542.78 and 227.54

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Solution

The fourth proportional to 393.29, 542.78 and 227.54 is: 314.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.29 : 542.78 = 227.54 : x
  2. Step 2: Convert to fraction form
    393.29/542.78 = 227.54/x
  3. Step 3: Cross multiply
    393.29x = 542.78 × 227.54
  4. Step 4: Simplify right side
    393.29x = 123,500.31
  5. Step 5: Solve for x
    x = 123,500.31/393.29
  6. Step 6: Final answer
    x = 314.02

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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.