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Finding the Fourth Proportional to 324.67, 486.89 and 209.24

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Solution

The fourth proportional to 324.67, 486.89 and 209.24 is: 313.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.67 : 486.89 = 209.24 : x
  2. Step 2: Convert to fraction form
    324.67/486.89 = 209.24/x
  3. Step 3: Cross multiply
    324.67x = 486.89 × 209.24
  4. Step 4: Simplify right side
    324.67x = 101,876.86
  5. Step 5: Solve for x
    x = 101,876.86/324.67
  6. Step 6: Final answer
    x = 313.79

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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.