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Finding the Fourth Proportional to 263.94, 394.38 and 209.27

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Solution

The fourth proportional to 263.94, 394.38 and 209.27 is: 312.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.94 : 394.38 = 209.27 : x
  2. Step 2: Convert to fraction form
    263.94/394.38 = 209.27/x
  3. Step 3: Cross multiply
    263.94x = 394.38 × 209.27
  4. Step 4: Simplify right side
    263.94x = 82,529.93
  5. Step 5: Solve for x
    x = 82,529.93/263.94
  6. Step 6: Final answer
    x = 312.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.