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Finding the Fourth Proportional to 324.80, 447.82 and 214.08

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Solution

The fourth proportional to 324.80, 447.82 and 214.08 is: 295.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.80 : 447.82 = 214.08 : x
  2. Step 2: Convert to fraction form
    324.80/447.82 = 214.08/x
  3. Step 3: Cross multiply
    324.80x = 447.82 × 214.08
  4. Step 4: Simplify right side
    324.80x = 95,869.31
  5. Step 5: Solve for x
    x = 95,869.31/324.80
  6. Step 6: Final answer
    x = 295.16

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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.