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Finding the Fourth Proportional to 939.75, 1,409.63 and 255.75

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Solution

The fourth proportional to 939.75, 1,409.63 and 255.75 is: 383.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.75 : 1,409.63 = 255.75 : x
  2. Step 2: Convert to fraction form
    939.75/1,409.63 = 255.75/x
  3. Step 3: Cross multiply
    939.75x = 1,409.63 × 255.75
  4. Step 4: Simplify right side
    939.75x = 360,511.59
  5. Step 5: Solve for x
    x = 360,511.59/939.75
  6. Step 6: Final answer
    x = 383.63

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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.