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Finding the Fourth Proportional to 578.38, 867.57 and 236.38

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Solution

The fourth proportional to 578.38, 867.57 and 236.38 is: 354.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.38 : 867.57 = 236.38 : x
  2. Step 2: Convert to fraction form
    578.38/867.57 = 236.38/x
  3. Step 3: Cross multiply
    578.38x = 867.57 × 236.38
  4. Step 4: Simplify right side
    578.38x = 205,070.68
  5. Step 5: Solve for x
    x = 205,070.68/578.38
  6. Step 6: Final answer
    x = 354.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.