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Finding the Fourth Proportional to 394.77, 544.82 and 226.78

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Solution

The fourth proportional to 394.77, 544.82 and 226.78 is: 312.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.77 : 544.82 = 226.78 : x
  2. Step 2: Convert to fraction form
    394.77/544.82 = 226.78/x
  3. Step 3: Cross multiply
    394.77x = 544.82 × 226.78
  4. Step 4: Simplify right side
    394.77x = 123,554.28
  5. Step 5: Solve for x
    x = 123,554.28/394.77
  6. Step 6: Final answer
    x = 312.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.