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Finding the Fourth Proportional to 324.54, 447.66 and 214.18

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Solution

The fourth proportional to 324.54, 447.66 and 214.18 is: 295.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.54 : 447.66 = 214.18 : x
  2. Step 2: Convert to fraction form
    324.54/447.66 = 214.18/x
  3. Step 3: Cross multiply
    324.54x = 447.66 × 214.18
  4. Step 4: Simplify right side
    324.54x = 95,879.82
  5. Step 5: Solve for x
    x = 95,879.82/324.54
  6. Step 6: Final answer
    x = 295.43

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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.