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Finding the Fourth Proportional to 402.54, 555.60 and 227.94

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Solution

The fourth proportional to 402.54, 555.60 and 227.94 is: 314.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.54 : 555.60 = 227.94 : x
  2. Step 2: Convert to fraction form
    402.54/555.60 = 227.94/x
  3. Step 3: Cross multiply
    402.54x = 555.60 × 227.94
  4. Step 4: Simplify right side
    402.54x = 126,643.46
  5. Step 5: Solve for x
    x = 126,643.46/402.54
  6. Step 6: Final answer
    x = 314.61

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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.