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Finding the Fourth Proportional to 517.72, 776.41 and 170.99

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Solution

The fourth proportional to 517.72, 776.41 and 170.99 is: 256.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.72 : 776.41 = 170.99 : x
  2. Step 2: Convert to fraction form
    517.72/776.41 = 170.99/x
  3. Step 3: Cross multiply
    517.72x = 776.41 × 170.99
  4. Step 4: Simplify right side
    517.72x = 132,755.25
  5. Step 5: Solve for x
    x = 132,755.25/517.72
  6. Step 6: Final answer
    x = 256.42

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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.