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Finding the Fourth Proportional to 447.39, 671.09 and 216.23

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Solution

The fourth proportional to 447.39, 671.09 and 216.23 is: 324.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.39 : 671.09 = 216.23 : x
  2. Step 2: Convert to fraction form
    447.39/671.09 = 216.23/x
  3. Step 3: Cross multiply
    447.39x = 671.09 × 216.23
  4. Step 4: Simplify right side
    447.39x = 145,105.35
  5. Step 5: Solve for x
    x = 145,105.35/447.39
  6. Step 6: Final answer
    x = 324.34

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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.