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Finding the Fourth Proportional to 323.75, 446.42 and 253.68

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Solution

The fourth proportional to 323.75, 446.42 and 253.68 is: 349.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.75 : 446.42 = 253.68 : x
  2. Step 2: Convert to fraction form
    323.75/446.42 = 253.68/x
  3. Step 3: Cross multiply
    323.75x = 446.42 × 253.68
  4. Step 4: Simplify right side
    323.75x = 113,246.56
  5. Step 5: Solve for x
    x = 113,246.56/323.75
  6. Step 6: Final answer
    x = 349.80

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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.