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Finding the Fourth Proportional to 609.71, 914.34 and 219.61

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Solution

The fourth proportional to 609.71, 914.34 and 219.61 is: 329.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.71 : 914.34 = 219.61 : x
  2. Step 2: Convert to fraction form
    609.71/914.34 = 219.61/x
  3. Step 3: Cross multiply
    609.71x = 914.34 × 219.61
  4. Step 4: Simplify right side
    609.71x = 200,793.09
  5. Step 5: Solve for x
    x = 200,793.09/609.71
  6. Step 6: Final answer
    x = 329.33

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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.