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Finding the Fourth Proportional to 811.07, 1,216.49 and 226.02

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Solution

The fourth proportional to 811.07, 1,216.49 and 226.02 is: 338.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.07 : 1,216.49 = 226.02 : x
  2. Step 2: Convert to fraction form
    811.07/1,216.49 = 226.02/x
  3. Step 3: Cross multiply
    811.07x = 1,216.49 × 226.02
  4. Step 4: Simplify right side
    811.07x = 274,944.87
  5. Step 5: Solve for x
    x = 274,944.87/811.07
  6. Step 6: Final answer
    x = 338.99

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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.