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Finding the Fourth Proportional to 327.77, 491.43 and 154.33

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Solution

The fourth proportional to 327.77, 491.43 and 154.33 is: 231.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.77 : 491.43 = 154.33 : x
  2. Step 2: Convert to fraction form
    327.77/491.43 = 154.33/x
  3. Step 3: Cross multiply
    327.77x = 491.43 × 154.33
  4. Step 4: Simplify right side
    327.77x = 75,842.39
  5. Step 5: Solve for x
    x = 75,842.39/327.77
  6. Step 6: Final answer
    x = 231.39

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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.