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Finding the Fourth Proportional to 402.30, 555.14 and 227.64

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Solution

The fourth proportional to 402.30, 555.14 and 227.64 is: 314.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.30 : 555.14 = 227.64 : x
  2. Step 2: Convert to fraction form
    402.30/555.14 = 227.64/x
  3. Step 3: Cross multiply
    402.30x = 555.14 × 227.64
  4. Step 4: Simplify right side
    402.30x = 126,372.07
  5. Step 5: Solve for x
    x = 126,372.07/402.30
  6. Step 6: Final answer
    x = 314.12

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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.