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Finding the Fourth Proportional to 324.60, 447.84 and 208.23

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Solution

The fourth proportional to 324.60, 447.84 and 208.23 is: 287.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.60 : 447.84 = 208.23 : x
  2. Step 2: Convert to fraction form
    324.60/447.84 = 208.23/x
  3. Step 3: Cross multiply
    324.60x = 447.84 × 208.23
  4. Step 4: Simplify right side
    324.60x = 93,253.72
  5. Step 5: Solve for x
    x = 93,253.72/324.60
  6. Step 6: Final answer
    x = 287.29

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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.