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Finding the Fourth Proportional to 402.32, 555.21 and 227.68

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Solution

The fourth proportional to 402.32, 555.21 and 227.68 is: 314.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.32 : 555.21 = 227.68 : x
  2. Step 2: Convert to fraction form
    402.32/555.21 = 227.68/x
  3. Step 3: Cross multiply
    402.32x = 555.21 × 227.68
  4. Step 4: Simplify right side
    402.32x = 126,410.21
  5. Step 5: Solve for x
    x = 126,410.21/402.32
  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.