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Finding the Fourth Proportional to 324.50, 486.87 and 170.42

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Solution

The fourth proportional to 324.50, 486.87 and 170.42 is: 255.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.50 : 486.87 = 170.42 : x
  2. Step 2: Convert to fraction form
    324.50/486.87 = 170.42/x
  3. Step 3: Cross multiply
    324.50x = 486.87 × 170.42
  4. Step 4: Simplify right side
    324.50x = 82,972.39
  5. Step 5: Solve for x
    x = 82,972.39/324.50
  6. Step 6: Final answer
    x = 255.69

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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.