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Finding the Fourth Proportional to 578.29, 867.09 and 231.68

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Solution

The fourth proportional to 578.29, 867.09 and 231.68 is: 347.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.29 : 867.09 = 231.68 : x
  2. Step 2: Convert to fraction form
    578.29/867.09 = 231.68/x
  3. Step 3: Cross multiply
    578.29x = 867.09 × 231.68
  4. Step 4: Simplify right side
    578.29x = 200,887.41
  5. Step 5: Solve for x
    x = 200,887.41/578.29
  6. Step 6: Final answer
    x = 347.38

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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.