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Finding the Fourth Proportional to 516.98, 775.37 and 170.34

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Solution

The fourth proportional to 516.98, 775.37 and 170.34 is: 255.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.98 : 775.37 = 170.34 : x
  2. Step 2: Convert to fraction form
    516.98/775.37 = 170.34/x
  3. Step 3: Cross multiply
    516.98x = 775.37 × 170.34
  4. Step 4: Simplify right side
    516.98x = 132,074.04
  5. Step 5: Solve for x
    x = 132,074.04/516.98
  6. Step 6: Final answer
    x = 255.47

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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.