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Finding the Fourth Proportional to 324.92, 448.42 and 214.64

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Solution

The fourth proportional to 324.92, 448.42 and 214.64 is: 296.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.92 : 448.42 = 214.64 : x
  2. Step 2: Convert to fraction form
    324.92/448.42 = 214.64/x
  3. Step 3: Cross multiply
    324.92x = 448.42 × 214.64
  4. Step 4: Simplify right side
    324.92x = 96,248.87
  5. Step 5: Solve for x
    x = 96,248.87/324.92
  6. Step 6: Final answer
    x = 296.22

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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.