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Finding the Fourth Proportional to 324.32, 447.42 and 206.24

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Solution

The fourth proportional to 324.32, 447.42 and 206.24 is: 284.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.32 : 447.42 = 206.24 : x
  2. Step 2: Convert to fraction form
    324.32/447.42 = 206.24/x
  3. Step 3: Cross multiply
    324.32x = 447.42 × 206.24
  4. Step 4: Simplify right side
    324.32x = 92,275.90
  5. Step 5: Solve for x
    x = 92,275.90/324.32
  6. Step 6: Final answer
    x = 284.52

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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.