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Finding the Fourth Proportional to 324.23, 447.80 and 214.20

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Solution

The fourth proportional to 324.23, 447.80 and 214.20 is: 295.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.23 : 447.80 = 214.20 : x
  2. Step 2: Convert to fraction form
    324.23/447.80 = 214.20/x
  3. Step 3: Cross multiply
    324.23x = 447.80 × 214.20
  4. Step 4: Simplify right side
    324.23x = 95,917.69
  5. Step 5: Solve for x
    x = 95,917.69/324.23
  6. Step 6: Final answer
    x = 295.84

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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.