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Finding the Fourth Proportional to 393.76, 543.42 and 227.92

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Solution

The fourth proportional to 393.76, 543.42 and 227.92 is: 314.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.76 : 543.42 = 227.92 : x
  2. Step 2: Convert to fraction form
    393.76/543.42 = 227.92/x
  3. Step 3: Cross multiply
    393.76x = 543.42 × 227.92
  4. Step 4: Simplify right side
    393.76x = 123,856.29
  5. Step 5: Solve for x
    x = 123,856.29/393.76
  6. Step 6: Final answer
    x = 314.55

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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.