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Finding the Fourth Proportional to 444.96, 667.31 and 170.96

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Solution

The fourth proportional to 444.96, 667.31 and 170.96 is: 256.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.96 : 667.31 = 170.96 : x
  2. Step 2: Convert to fraction form
    444.96/667.31 = 170.96/x
  3. Step 3: Cross multiply
    444.96x = 667.31 × 170.96
  4. Step 4: Simplify right side
    444.96x = 114,079.13
  5. Step 5: Solve for x
    x = 114,079.13/444.96
  6. Step 6: Final answer
    x = 256.38

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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.