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Finding the Fourth Proportional to 451.68, 676.14 and 329.91

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Solution

The fourth proportional to 451.68, 676.14 and 329.91 is: 493.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.68 : 676.14 = 329.91 : x
  2. Step 2: Convert to fraction form
    451.68/676.14 = 329.91/x
  3. Step 3: Cross multiply
    451.68x = 676.14 × 329.91
  4. Step 4: Simplify right side
    451.68x = 223,065.35
  5. Step 5: Solve for x
    x = 223,065.35/451.68
  6. Step 6: Final answer
    x = 493.86

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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.