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Finding the Fourth Proportional to 939.87, 1,408.23 and 323.24

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Solution

The fourth proportional to 939.87, 1,408.23 and 323.24 is: 484.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.87 : 1,408.23 = 323.24 : x
  2. Step 2: Convert to fraction form
    939.87/1,408.23 = 323.24/x
  3. Step 3: Cross multiply
    939.87x = 1,408.23 × 323.24
  4. Step 4: Simplify right side
    939.87x = 455,189.22
  5. Step 5: Solve for x
    x = 455,189.22/939.87
  6. Step 6: Final answer
    x = 484.31

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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.