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Finding the Fourth Proportional to 402.33, 555.27 and 227.67

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Solution

The fourth proportional to 402.33, 555.27 and 227.67 is: 314.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.33 : 555.27 = 227.67 : x
  2. Step 2: Convert to fraction form
    402.33/555.27 = 227.67/x
  3. Step 3: Cross multiply
    402.33x = 555.27 × 227.67
  4. Step 4: Simplify right side
    402.33x = 126,418.32
  5. Step 5: Solve for x
    x = 126,418.32/402.33
  6. Step 6: Final answer
    x = 314.22

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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.