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Finding the Fourth Proportional to 324.14, 486.50 and 219.77

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Solution

The fourth proportional to 324.14, 486.50 and 219.77 is: 329.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.14 : 486.50 = 219.77 : x
  2. Step 2: Convert to fraction form
    324.14/486.50 = 219.77/x
  3. Step 3: Cross multiply
    324.14x = 486.50 × 219.77
  4. Step 4: Simplify right side
    324.14x = 106,914.57
  5. Step 5: Solve for x
    x = 106,914.57/324.14
  6. Step 6: Final answer
    x = 329.85

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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.