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Finding the Fourth Proportional to 393.12, 542.57 and 227.36

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Solution

The fourth proportional to 393.12, 542.57 and 227.36 is: 313.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.12 : 542.57 = 227.36 : x
  2. Step 2: Convert to fraction form
    393.12/542.57 = 227.36/x
  3. Step 3: Cross multiply
    393.12x = 542.57 × 227.36
  4. Step 4: Simplify right side
    393.12x = 123,354.87
  5. Step 5: Solve for x
    x = 123,354.87/393.12
  6. Step 6: Final answer
    x = 313.78

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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.