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Finding the Fourth Proportional to 402.23, 555.24 and 254.84

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Solution

The fourth proportional to 402.23, 555.24 and 254.84 is: 351.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.23 : 555.24 = 254.84 : x
  2. Step 2: Convert to fraction form
    402.23/555.24 = 254.84/x
  3. Step 3: Cross multiply
    402.23x = 555.24 × 254.84
  4. Step 4: Simplify right side
    402.23x = 141,497.36
  5. Step 5: Solve for x
    x = 141,497.36/402.23
  6. Step 6: Final answer
    x = 351.78

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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.