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Finding the Fourth Proportional to 393.48, 542.96 and 227.70

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Solution

The fourth proportional to 393.48, 542.96 and 227.70 is: 314.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.48 : 542.96 = 227.70 : x
  2. Step 2: Convert to fraction form
    393.48/542.96 = 227.70/x
  3. Step 3: Cross multiply
    393.48x = 542.96 × 227.70
  4. Step 4: Simplify right side
    393.48x = 123,631.99
  5. Step 5: Solve for x
    x = 123,631.99/393.48
  6. Step 6: Final answer
    x = 314.20

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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.