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Finding the Fourth Proportional to 843.43, 1,264.74 and 323.41

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Solution

The fourth proportional to 843.43, 1,264.74 and 323.41 is: 484.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.43 : 1,264.74 = 323.41 : x
  2. Step 2: Convert to fraction form
    843.43/1,264.74 = 323.41/x
  3. Step 3: Cross multiply
    843.43x = 1,264.74 × 323.41
  4. Step 4: Simplify right side
    843.43x = 409,029.56
  5. Step 5: Solve for x
    x = 409,029.56/843.43
  6. Step 6: Final answer
    x = 484.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.