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Finding the Fourth Proportional to 323.78, 446.36 and 213.08

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Solution

The fourth proportional to 323.78, 446.36 and 213.08 is: 293.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.78 : 446.36 = 213.08 : x
  2. Step 2: Convert to fraction form
    323.78/446.36 = 213.08/x
  3. Step 3: Cross multiply
    323.78x = 446.36 × 213.08
  4. Step 4: Simplify right side
    323.78x = 95,110.39
  5. Step 5: Solve for x
    x = 95,110.39/323.78
  6. Step 6: Final answer
    x = 293.75

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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.