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Finding the Fourth Proportional to 321.26, 480.47 and 190.94

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Solution

The fourth proportional to 321.26, 480.47 and 190.94 is: 285.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.26 : 480.47 = 190.94 : x
  2. Step 2: Convert to fraction form
    321.26/480.47 = 190.94/x
  3. Step 3: Cross multiply
    321.26x = 480.47 × 190.94
  4. Step 4: Simplify right side
    321.26x = 91,737.58
  5. Step 5: Solve for x
    x = 91,737.58/321.26
  6. Step 6: Final answer
    x = 285.56

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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.