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Finding the Fourth Proportional to 402.07, 603.24 and 209.56

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Solution

The fourth proportional to 402.07, 603.24 and 209.56 is: 314.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.07 : 603.24 = 209.56 : x
  2. Step 2: Convert to fraction form
    402.07/603.24 = 209.56/x
  3. Step 3: Cross multiply
    402.07x = 603.24 × 209.56
  4. Step 4: Simplify right side
    402.07x = 126,414.97
  5. Step 5: Solve for x
    x = 126,414.97/402.07
  6. Step 6: Final answer
    x = 314.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.