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Finding the Fourth Proportional to 392.75, 542.02 and 227.02

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Solution

The fourth proportional to 392.75, 542.02 and 227.02 is: 313.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.75 : 542.02 = 227.02 : x
  2. Step 2: Convert to fraction form
    392.75/542.02 = 227.02/x
  3. Step 3: Cross multiply
    392.75x = 542.02 × 227.02
  4. Step 4: Simplify right side
    392.75x = 123,048.90
  5. Step 5: Solve for x
    x = 123,048.90/392.75
  6. Step 6: Final answer
    x = 313.30

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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.