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Finding the Fourth Proportional to 324.11, 447.43 and 219.74

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Solution

The fourth proportional to 324.11, 447.43 and 219.74 is: 303.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.11 : 447.43 = 219.74 : x
  2. Step 2: Convert to fraction form
    324.11/447.43 = 219.74/x
  3. Step 3: Cross multiply
    324.11x = 447.43 × 219.74
  4. Step 4: Simplify right side
    324.11x = 98,318.27
  5. Step 5: Solve for x
    x = 98,318.27/324.11
  6. Step 6: Final answer
    x = 303.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.