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Finding the Fourth Proportional to 324.86, 486.97 and 108.29

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Solution

The fourth proportional to 324.86, 486.97 and 108.29 is: 162.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.86 : 486.97 = 108.29 : x
  2. Step 2: Convert to fraction form
    324.86/486.97 = 108.29/x
  3. Step 3: Cross multiply
    324.86x = 486.97 × 108.29
  4. Step 4: Simplify right side
    324.86x = 52,734.93
  5. Step 5: Solve for x
    x = 52,734.93/324.86
  6. Step 6: Final answer
    x = 162.33

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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.