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Finding the Fourth Proportional to 324.97, 487.52 and 119.53

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Solution

The fourth proportional to 324.97, 487.52 and 119.53 is: 179.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.97 : 487.52 = 119.53 : x
  2. Step 2: Convert to fraction form
    324.97/487.52 = 119.53/x
  3. Step 3: Cross multiply
    324.97x = 487.52 × 119.53
  4. Step 4: Simplify right side
    324.97x = 58,270.23
  5. Step 5: Solve for x
    x = 58,270.23/324.97
  6. Step 6: Final answer
    x = 179.31

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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.