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Finding the Fourth Proportional to 393.59, 543.17 and 227.84

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Solution

The fourth proportional to 393.59, 543.17 and 227.84 is: 314.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.59 : 543.17 = 227.84 : x
  2. Step 2: Convert to fraction form
    393.59/543.17 = 227.84/x
  3. Step 3: Cross multiply
    393.59x = 543.17 × 227.84
  4. Step 4: Simplify right side
    393.59x = 123,753.71
  5. Step 5: Solve for x
    x = 123,753.71/393.59
  6. Step 6: Final answer
    x = 314.42

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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.