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Finding the Fourth Proportional to 451.23, 676.12 and 219.97

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Solution

The fourth proportional to 451.23, 676.12 and 219.97 is: 329.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.23 : 676.12 = 219.97 : x
  2. Step 2: Convert to fraction form
    451.23/676.12 = 219.97/x
  3. Step 3: Cross multiply
    451.23x = 676.12 × 219.97
  4. Step 4: Simplify right side
    451.23x = 148,726.12
  5. Step 5: Solve for x
    x = 148,726.12/451.23
  6. Step 6: Final answer
    x = 329.60

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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.