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Finding the Fourth Proportional to 324.95, 487.41 and 132.57

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Solution

The fourth proportional to 324.95, 487.41 and 132.57 is: 198.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.95 : 487.41 = 132.57 : x
  2. Step 2: Convert to fraction form
    324.95/487.41 = 132.57/x
  3. Step 3: Cross multiply
    324.95x = 487.41 × 132.57
  4. Step 4: Simplify right side
    324.95x = 64,615.94
  5. Step 5: Solve for x
    x = 64,615.94/324.95
  6. Step 6: Final answer
    x = 198.85

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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.