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Finding the Fourth Proportional to 426.46, 638.46 and 381.94

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Solution

The fourth proportional to 426.46, 638.46 and 381.94 is: 571.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.46 : 638.46 = 381.94 : x
  2. Step 2: Convert to fraction form
    426.46/638.46 = 381.94/x
  3. Step 3: Cross multiply
    426.46x = 638.46 × 381.94
  4. Step 4: Simplify right side
    426.46x = 243,853.09
  5. Step 5: Solve for x
    x = 243,853.09/426.46
  6. Step 6: Final answer
    x = 571.81

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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.