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Finding the Fourth Proportional to 578.41, 799.01 and 516.22

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Solution

The fourth proportional to 578.41, 799.01 and 516.22 is: 713.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.41 : 799.01 = 516.22 : x
  2. Step 2: Convert to fraction form
    578.41/799.01 = 516.22/x
  3. Step 3: Cross multiply
    578.41x = 799.01 × 516.22
  4. Step 4: Simplify right side
    578.41x = 412,464.94
  5. Step 5: Solve for x
    x = 412,464.94/578.41
  6. Step 6: Final answer
    x = 713.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.