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Finding the Fourth Proportional to 327.82, 491.47 and 218.13

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Solution

The fourth proportional to 327.82, 491.47 and 218.13 is: 327.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.82 : 491.47 = 218.13 : x
  2. Step 2: Convert to fraction form
    327.82/491.47 = 218.13/x
  3. Step 3: Cross multiply
    327.82x = 491.47 × 218.13
  4. Step 4: Simplify right side
    327.82x = 107,202.58
  5. Step 5: Solve for x
    x = 107,202.58/327.82
  6. Step 6: Final answer
    x = 327.02

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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.