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Finding the Fourth Proportional to 327.92, 492.03 and 250.83

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Solution

The fourth proportional to 327.92, 492.03 and 250.83 is: 376.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.92 : 492.03 = 250.83 : x
  2. Step 2: Convert to fraction form
    327.92/492.03 = 250.83/x
  3. Step 3: Cross multiply
    327.92x = 492.03 × 250.83
  4. Step 4: Simplify right side
    327.92x = 123,415.88
  5. Step 5: Solve for x
    x = 123,415.88/327.92
  6. Step 6: Final answer
    x = 376.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.