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Finding the Fourth Proportional to 327.73, 491.78 and 270.46

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Solution

The fourth proportional to 327.73, 491.78 and 270.46 is: 405.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.73 : 491.78 = 270.46 : x
  2. Step 2: Convert to fraction form
    327.73/491.78 = 270.46/x
  3. Step 3: Cross multiply
    327.73x = 491.78 × 270.46
  4. Step 4: Simplify right side
    327.73x = 133,006.82
  5. Step 5: Solve for x
    x = 133,006.82/327.73
  6. Step 6: Final answer
    x = 405.84

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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.