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Finding the Fourth Proportional to 451.34, 676.42 and 219.76

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Solution

The fourth proportional to 451.34, 676.42 and 219.76 is: 329.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.34 : 676.42 = 219.76 : x
  2. Step 2: Convert to fraction form
    451.34/676.42 = 219.76/x
  3. Step 3: Cross multiply
    451.34x = 676.42 × 219.76
  4. Step 4: Simplify right side
    451.34x = 148,650.06
  5. Step 5: Solve for x
    x = 148,650.06/451.34
  6. Step 6: Final answer
    x = 329.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.