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Finding the Fourth Proportional to 324.59, 487.03 and 170.48

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Solution

The fourth proportional to 324.59, 487.03 and 170.48 is: 255.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.59 : 487.03 = 170.48 : x
  2. Step 2: Convert to fraction form
    324.59/487.03 = 170.48/x
  3. Step 3: Cross multiply
    324.59x = 487.03 × 170.48
  4. Step 4: Simplify right side
    324.59x = 83,029.70
  5. Step 5: Solve for x
    x = 83,029.70/324.59
  6. Step 6: Final answer
    x = 255.80

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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.