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Finding the Fourth Proportional to 404.52, 606.82 and 209.61

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Solution

The fourth proportional to 404.52, 606.82 and 209.61 is: 314.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.52 : 606.82 = 209.61 : x
  2. Step 2: Convert to fraction form
    404.52/606.82 = 209.61/x
  3. Step 3: Cross multiply
    404.52x = 606.82 × 209.61
  4. Step 4: Simplify right side
    404.52x = 127,195.02
  5. Step 5: Solve for x
    x = 127,195.02/404.52
  6. Step 6: Final answer
    x = 314.43

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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.