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Finding the Fourth Proportional to 537.24, 806.08 and 229.16

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Solution

The fourth proportional to 537.24, 806.08 and 229.16 is: 343.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.24 : 806.08 = 229.16 : x
  2. Step 2: Convert to fraction form
    537.24/806.08 = 229.16/x
  3. Step 3: Cross multiply
    537.24x = 806.08 × 229.16
  4. Step 4: Simplify right side
    537.24x = 184,721.29
  5. Step 5: Solve for x
    x = 184,721.29/537.24
  6. Step 6: Final answer
    x = 343.83

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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.