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Finding the Fourth Proportional to 578.13, 867.19 and 231.61

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Solution

The fourth proportional to 578.13, 867.19 and 231.61 is: 347.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.13 : 867.19 = 231.61 : x
  2. Step 2: Convert to fraction form
    578.13/867.19 = 231.61/x
  3. Step 3: Cross multiply
    578.13x = 867.19 × 231.61
  4. Step 4: Simplify right side
    578.13x = 200,849.88
  5. Step 5: Solve for x
    x = 200,849.88/578.13
  6. Step 6: Final answer
    x = 347.41

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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.