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Finding the Fourth Proportional to 811.34, 1,216.76 and 226.20

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Solution

The fourth proportional to 811.34, 1,216.76 and 226.20 is: 339.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.34 : 1,216.76 = 226.20 : x
  2. Step 2: Convert to fraction form
    811.34/1,216.76 = 226.20/x
  3. Step 3: Cross multiply
    811.34x = 1,216.76 × 226.20
  4. Step 4: Simplify right side
    811.34x = 275,231.68
  5. Step 5: Solve for x
    x = 275,231.68/811.34
  6. Step 6: Final answer
    x = 339.23

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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.