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Finding the Fourth Proportional to 664.07, 996.44 and 447.19

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Solution

The fourth proportional to 664.07, 996.44 and 447.19 is: 671.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.07 : 996.44 = 447.19 : x
  2. Step 2: Convert to fraction form
    664.07/996.44 = 447.19/x
  3. Step 3: Cross multiply
    664.07x = 996.44 × 447.19
  4. Step 4: Simplify right side
    664.07x = 445,593.28
  5. Step 5: Solve for x
    x = 445,593.28/664.07
  6. Step 6: Final answer
    x = 671.01

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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.