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Finding the Fourth Proportional to 324.89, 487.32 and 81.41

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Solution

The fourth proportional to 324.89, 487.32 and 81.41 is: 122.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.89 : 487.32 = 81.41 : x
  2. Step 2: Convert to fraction form
    324.89/487.32 = 81.41/x
  3. Step 3: Cross multiply
    324.89x = 487.32 × 81.41
  4. Step 4: Simplify right side
    324.89x = 39,670.28
  5. Step 5: Solve for x
    x = 39,670.28/324.89
  6. Step 6: Final answer
    x = 122.11

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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.