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Finding the Fourth Proportional to 443.41, 664.71 and 169.29

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Solution

The fourth proportional to 443.41, 664.71 and 169.29 is: 253.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.41 : 664.71 = 169.29 : x
  2. Step 2: Convert to fraction form
    443.41/664.71 = 169.29/x
  3. Step 3: Cross multiply
    443.41x = 664.71 × 169.29
  4. Step 4: Simplify right side
    443.41x = 112,528.12
  5. Step 5: Solve for x
    x = 112,528.12/443.41
  6. Step 6: Final answer
    x = 253.78

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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.