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Finding the Fourth Proportional to 402.53, 555.39 and 227.84

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Solution

The fourth proportional to 402.53, 555.39 and 227.84 is: 314.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.53 : 555.39 = 227.84 : x
  2. Step 2: Convert to fraction form
    402.53/555.39 = 227.84/x
  3. Step 3: Cross multiply
    402.53x = 555.39 × 227.84
  4. Step 4: Simplify right side
    402.53x = 126,537.28
  5. Step 5: Solve for x
    x = 126,537.28/402.53
  6. Step 6: Final answer
    x = 314.36

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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.