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Finding the Fourth Proportional to 578.36, 863.09 and 516.85

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Solution

The fourth proportional to 578.36, 863.09 and 516.85 is: 771.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.36 : 863.09 = 516.85 : x
  2. Step 2: Convert to fraction form
    578.36/863.09 = 516.85/x
  3. Step 3: Cross multiply
    578.36x = 863.09 × 516.85
  4. Step 4: Simplify right side
    578.36x = 446,081.17
  5. Step 5: Solve for x
    x = 446,081.17/578.36
  6. Step 6: Final answer
    x = 771.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.