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Finding the Fourth Proportional to 609.60, 839.76 and 422.73

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Solution

The fourth proportional to 609.60, 839.76 and 422.73 is: 582.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.60 : 839.76 = 422.73 : x
  2. Step 2: Convert to fraction form
    609.60/839.76 = 422.73/x
  3. Step 3: Cross multiply
    609.60x = 839.76 × 422.73
  4. Step 4: Simplify right side
    609.60x = 354,991.74
  5. Step 5: Solve for x
    x = 354,991.74/609.60
  6. Step 6: Final answer
    x = 582.34

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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.