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Finding the Fourth Proportional to 444.69, 667 and 170.77

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Solution

The fourth proportional to 444.69, 667 and 170.77 is: 256.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.69 : 667 = 170.77 : x
  2. Step 2: Convert to fraction form
    444.69/667 = 170.77/x
  3. Step 3: Cross multiply
    444.69x = 667 × 170.77
  4. Step 4: Simplify right side
    444.69x = 113,903.59
  5. Step 5: Solve for x
    x = 113,903.59/444.69
  6. Step 6: Final answer
    x = 256.14

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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.