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Finding the Fourth Proportional to 402.22, 554.92 and 254.71

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Solution

The fourth proportional to 402.22, 554.92 and 254.71 is: 351.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.22 : 554.92 = 254.71 : x
  2. Step 2: Convert to fraction form
    402.22/554.92 = 254.71/x
  3. Step 3: Cross multiply
    402.22x = 554.92 × 254.71
  4. Step 4: Simplify right side
    402.22x = 141,343.67
  5. Step 5: Solve for x
    x = 141,343.67/402.22
  6. Step 6: Final answer
    x = 351.41

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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.