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Finding the Fourth Proportional to 324.29, 486.50 and 209.54

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Solution

The fourth proportional to 324.29, 486.50 and 209.54 is: 314.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.29 : 486.50 = 209.54 : x
  2. Step 2: Convert to fraction form
    324.29/486.50 = 209.54/x
  3. Step 3: Cross multiply
    324.29x = 486.50 × 209.54
  4. Step 4: Simplify right side
    324.29x = 101,937.73
  5. Step 5: Solve for x
    x = 101,937.73/324.29
  6. Step 6: Final answer
    x = 314.35

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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.