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Finding the Fourth Proportional to 679.74, 938.42 and 447.26

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Solution

The fourth proportional to 679.74, 938.42 and 447.26 is: 617.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.74 : 938.42 = 447.26 : x
  2. Step 2: Convert to fraction form
    679.74/938.42 = 447.26/x
  3. Step 3: Cross multiply
    679.74x = 938.42 × 447.26
  4. Step 4: Simplify right side
    679.74x = 419,717.73
  5. Step 5: Solve for x
    x = 419,717.73/679.74
  6. Step 6: Final answer
    x = 617.47

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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.