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Finding the Fourth Proportional to 444.77, 667.14 and 170.85

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Solution

The fourth proportional to 444.77, 667.14 and 170.85 is: 256.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.77 : 667.14 = 170.85 : x
  2. Step 2: Convert to fraction form
    444.77/667.14 = 170.85/x
  3. Step 3: Cross multiply
    444.77x = 667.14 × 170.85
  4. Step 4: Simplify right side
    444.77x = 113,980.87
  5. Step 5: Solve for x
    x = 113,980.87/444.77
  6. Step 6: Final answer
    x = 256.27

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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.