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Finding the Fourth Proportional to 402.71, 555.74 and 243.27

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Solution

The fourth proportional to 402.71, 555.74 and 243.27 is: 335.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.71 : 555.74 = 243.27 : x
  2. Step 2: Convert to fraction form
    402.71/555.74 = 243.27/x
  3. Step 3: Cross multiply
    402.71x = 555.74 × 243.27
  4. Step 4: Simplify right side
    402.71x = 135,195.48
  5. Step 5: Solve for x
    x = 135,195.48/402.71
  6. Step 6: Final answer
    x = 335.72

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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.