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Finding the Fourth Proportional to 402.25, 555.09 and 227.59

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Solution

The fourth proportional to 402.25, 555.09 and 227.59 is: 314.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.25 : 555.09 = 227.59 : x
  2. Step 2: Convert to fraction form
    402.25/555.09 = 227.59/x
  3. Step 3: Cross multiply
    402.25x = 555.09 × 227.59
  4. Step 4: Simplify right side
    402.25x = 126,332.93
  5. Step 5: Solve for x
    x = 126,332.93/402.25
  6. Step 6: Final answer
    x = 314.07

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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.