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Finding the Fourth Proportional to 335.26, 463.26 and 323.92

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Solution

The fourth proportional to 335.26, 463.26 and 323.92 is: 447.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.26 : 463.26 = 323.92 : x
  2. Step 2: Convert to fraction form
    335.26/463.26 = 323.92/x
  3. Step 3: Cross multiply
    335.26x = 463.26 × 323.92
  4. Step 4: Simplify right side
    335.26x = 150,059.18
  5. Step 5: Solve for x
    x = 150,059.18/335.26
  6. Step 6: Final answer
    x = 447.59

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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.