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Finding the Fourth Proportional to 461.48, 691.96 and 331.54

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Solution

The fourth proportional to 461.48, 691.96 and 331.54 is: 497.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.48 : 691.96 = 331.54 : x
  2. Step 2: Convert to fraction form
    461.48/691.96 = 331.54/x
  3. Step 3: Cross multiply
    461.48x = 691.96 × 331.54
  4. Step 4: Simplify right side
    461.48x = 229,408.58
  5. Step 5: Solve for x
    x = 229,408.58/461.48
  6. Step 6: Final answer
    x = 497.12

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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.