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Finding the Fourth Proportional to 324.31, 486.34 and 107.84

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Solution

The fourth proportional to 324.31, 486.34 and 107.84 is: 161.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.31 : 486.34 = 107.84 : x
  2. Step 2: Convert to fraction form
    324.31/486.34 = 107.84/x
  3. Step 3: Cross multiply
    324.31x = 486.34 × 107.84
  4. Step 4: Simplify right side
    324.31x = 52,444.47
  5. Step 5: Solve for x
    x = 52,444.47/324.31
  6. Step 6: Final answer
    x = 161.71

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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.