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Finding the Fourth Proportional to 324.09, 447.44 and 213.75

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Solution

The fourth proportional to 324.09, 447.44 and 213.75 is: 295.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.09 : 447.44 = 213.75 : x
  2. Step 2: Convert to fraction form
    324.09/447.44 = 213.75/x
  3. Step 3: Cross multiply
    324.09x = 447.44 × 213.75
  4. Step 4: Simplify right side
    324.09x = 95,639.23
  5. Step 5: Solve for x
    x = 95,639.23/324.09
  6. Step 6: Final answer
    x = 295.10

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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.