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Finding the Fourth Proportional to 427.87, 638.42 and 382.78

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Solution

The fourth proportional to 427.87, 638.42 and 382.78 is: 571.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.87 : 638.42 = 382.78 : x
  2. Step 2: Convert to fraction form
    427.87/638.42 = 382.78/x
  3. Step 3: Cross multiply
    427.87x = 638.42 × 382.78
  4. Step 4: Simplify right side
    427.87x = 244,374.41
  5. Step 5: Solve for x
    x = 244,374.41/427.87
  6. Step 6: Final answer
    x = 571.14

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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.