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Finding the Fourth Proportional to 324.25, 447.59 and 206.39

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Solution

The fourth proportional to 324.25, 447.59 and 206.39 is: 284.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.25 : 447.59 = 206.39 : x
  2. Step 2: Convert to fraction form
    324.25/447.59 = 206.39/x
  3. Step 3: Cross multiply
    324.25x = 447.59 × 206.39
  4. Step 4: Simplify right side
    324.25x = 92,379.74
  5. Step 5: Solve for x
    x = 92,379.74/324.25
  6. Step 6: Final answer
    x = 284.91

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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.