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Finding the Fourth Proportional to 327.69, 491.13 and 211.86

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Solution

The fourth proportional to 327.69, 491.13 and 211.86 is: 317.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.69 : 491.13 = 211.86 : x
  2. Step 2: Convert to fraction form
    327.69/491.13 = 211.86/x
  3. Step 3: Cross multiply
    327.69x = 491.13 × 211.86
  4. Step 4: Simplify right side
    327.69x = 104,050.80
  5. Step 5: Solve for x
    x = 104,050.80/327.69
  6. Step 6: Final answer
    x = 317.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.