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Finding the Fourth Proportional to 324.16, 447.54 and 213.84

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Solution

The fourth proportional to 324.16, 447.54 and 213.84 is: 295.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.16 : 447.54 = 213.84 : x
  2. Step 2: Convert to fraction form
    324.16/447.54 = 213.84/x
  3. Step 3: Cross multiply
    324.16x = 447.54 × 213.84
  4. Step 4: Simplify right side
    324.16x = 95,701.95
  5. Step 5: Solve for x
    x = 95,701.95/324.16
  6. Step 6: Final answer
    x = 295.23

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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.