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Finding the Fourth Proportional to 393.67, 543.17 and 227.84

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Solution

The fourth proportional to 393.67, 543.17 and 227.84 is: 314.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.67 : 543.17 = 227.84 : x
  2. Step 2: Convert to fraction form
    393.67/543.17 = 227.84/x
  3. Step 3: Cross multiply
    393.67x = 543.17 × 227.84
  4. Step 4: Simplify right side
    393.67x = 123,756.07
  5. Step 5: Solve for x
    x = 123,756.07/393.67
  6. Step 6: Final answer
    x = 314.37

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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.