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Finding the Fourth Proportional to 324.92, 448.41 and 214.61

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Solution

The fourth proportional to 324.92, 448.41 and 214.61 is: 296.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.92 : 448.41 = 214.61 : x
  2. Step 2: Convert to fraction form
    324.92/448.41 = 214.61/x
  3. Step 3: Cross multiply
    324.92x = 448.41 × 214.61
  4. Step 4: Simplify right side
    324.92x = 96,231.03
  5. Step 5: Solve for x
    x = 96,231.03/324.92
  6. Step 6: Final answer
    x = 296.17

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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.