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Finding the Fourth Proportional to 402.42, 555.32 and 227.75

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Solution

The fourth proportional to 402.42, 555.32 and 227.75 is: 314.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.42 : 555.32 = 227.75 : x
  2. Step 2: Convert to fraction form
    402.42/555.32 = 227.75/x
  3. Step 3: Cross multiply
    402.42x = 555.32 × 227.75
  4. Step 4: Simplify right side
    402.42x = 126,470.21
  5. Step 5: Solve for x
    x = 126,470.21/402.42
  6. Step 6: Final answer
    x = 314.27

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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.