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Finding the Fourth Proportional to 324.47, 486.78 and 108.05

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Solution

The fourth proportional to 324.47, 486.78 and 108.05 is: 162.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.47 : 486.78 = 108.05 : x
  2. Step 2: Convert to fraction form
    324.47/486.78 = 108.05/x
  3. Step 3: Cross multiply
    324.47x = 486.78 × 108.05
  4. Step 4: Simplify right side
    324.47x = 52,594.15
  5. Step 5: Solve for x
    x = 52,594.15/324.47
  6. Step 6: Final answer
    x = 162.09

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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.