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Finding the Fourth Proportional to 327.68, 491.03 and 212.05

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Solution

The fourth proportional to 327.68, 491.03 and 212.05 is: 317.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.68 : 491.03 = 212.05 : x
  2. Step 2: Convert to fraction form
    327.68/491.03 = 212.05/x
  3. Step 3: Cross multiply
    327.68x = 491.03 × 212.05
  4. Step 4: Simplify right side
    327.68x = 104,122.21
  5. Step 5: Solve for x
    x = 104,122.21/327.68
  6. Step 6: Final answer
    x = 317.76

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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.