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Finding the Fourth Proportional to 516.79, 775.29 and 170.22

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Solution

The fourth proportional to 516.79, 775.29 and 170.22 is: 255.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.79 : 775.29 = 170.22 : x
  2. Step 2: Convert to fraction form
    516.79/775.29 = 170.22/x
  3. Step 3: Cross multiply
    516.79x = 775.29 × 170.22
  4. Step 4: Simplify right side
    516.79x = 131,973.41
  5. Step 5: Solve for x
    x = 131,973.41/516.79
  6. Step 6: Final answer
    x = 255.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.