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Finding the Fourth Proportional to 327.69, 491.04 and 212.27

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Solution

The fourth proportional to 327.69, 491.04 and 212.27 is: 318.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.69 : 491.04 = 212.27 : x
  2. Step 2: Convert to fraction form
    327.69/491.04 = 212.27/x
  3. Step 3: Cross multiply
    327.69x = 491.04 × 212.27
  4. Step 4: Simplify right side
    327.69x = 104,230.61
  5. Step 5: Solve for x
    x = 104,230.61/327.69
  6. Step 6: Final answer
    x = 318.08

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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.