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Finding the Fourth Proportional to 327.05, 490.58 and 83.57

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Solution

The fourth proportional to 327.05, 490.58 and 83.57 is: 125.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.05 : 490.58 = 83.57 : x
  2. Step 2: Convert to fraction form
    327.05/490.58 = 83.57/x
  3. Step 3: Cross multiply
    327.05x = 490.58 × 83.57
  4. Step 4: Simplify right side
    327.05x = 40,998.44
  5. Step 5: Solve for x
    x = 40,998.44/327.05
  6. Step 6: Final answer
    x = 125.36

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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.