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Finding the Fourth Proportional to 392.96, 542.35 and 227.27

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Solution

The fourth proportional to 392.96, 542.35 and 227.27 is: 313.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.96 : 542.35 = 227.27 : x
  2. Step 2: Convert to fraction form
    392.96/542.35 = 227.27/x
  3. Step 3: Cross multiply
    392.96x = 542.35 × 227.27
  4. Step 4: Simplify right side
    392.96x = 123,260.96
  5. Step 5: Solve for x
    x = 123,260.96/392.96
  6. Step 6: Final answer
    x = 313.67

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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.