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Finding the Fourth Proportional to 516.77, 774.96 and 170.04

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Solution

The fourth proportional to 516.77, 774.96 and 170.04 is: 254.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.77 : 774.96 = 170.04 : x
  2. Step 2: Convert to fraction form
    516.77/774.96 = 170.04/x
  3. Step 3: Cross multiply
    516.77x = 774.96 × 170.04
  4. Step 4: Simplify right side
    516.77x = 131,772.69
  5. Step 5: Solve for x
    x = 131,772.69/516.77
  6. Step 6: Final answer
    x = 254.99

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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.