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Finding the Fourth Proportional to 323.20, 445.92 and 257.56

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Solution

The fourth proportional to 323.20, 445.92 and 257.56 is: 355.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.20 : 445.92 = 257.56 : x
  2. Step 2: Convert to fraction form
    323.20/445.92 = 257.56/x
  3. Step 3: Cross multiply
    323.20x = 445.92 × 257.56
  4. Step 4: Simplify right side
    323.20x = 114,851.16
  5. Step 5: Solve for x
    x = 114,851.16/323.20
  6. Step 6: Final answer
    x = 355.36

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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.