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Finding the Fourth Proportional to 578.10, 866.91 and 231.37

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Solution

The fourth proportional to 578.10, 866.91 and 231.37 is: 346.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.10 : 866.91 = 231.37 : x
  2. Step 2: Convert to fraction form
    578.10/866.91 = 231.37/x
  3. Step 3: Cross multiply
    578.10x = 866.91 × 231.37
  4. Step 4: Simplify right side
    578.10x = 200,576.97
  5. Step 5: Solve for x
    x = 200,576.97/578.10
  6. Step 6: Final answer
    x = 346.96

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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.