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Finding the Fourth Proportional to 939.25, 1,408.88 and 255.25

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Solution

The fourth proportional to 939.25, 1,408.88 and 255.25 is: 382.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.25 : 1,408.88 = 255.25 : x
  2. Step 2: Convert to fraction form
    939.25/1,408.88 = 255.25/x
  3. Step 3: Cross multiply
    939.25x = 1,408.88 × 255.25
  4. Step 4: Simplify right side
    939.25x = 359,616.62
  5. Step 5: Solve for x
    x = 359,616.62/939.25
  6. Step 6: Final answer
    x = 382.88

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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.