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Finding the Fourth Proportional to 668.38, 921.26 and 447.26

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Solution

The fourth proportional to 668.38, 921.26 and 447.26 is: 616.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.38 : 921.26 = 447.26 : x
  2. Step 2: Convert to fraction form
    668.38/921.26 = 447.26/x
  3. Step 3: Cross multiply
    668.38x = 921.26 × 447.26
  4. Step 4: Simplify right side
    668.38x = 412,042.75
  5. Step 5: Solve for x
    x = 412,042.75/668.38
  6. Step 6: Final answer
    x = 616.48

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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.