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Finding the Fourth Proportional to 500.83, 751.22 and 226.73

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Solution

The fourth proportional to 500.83, 751.22 and 226.73 is: 340.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.83 : 751.22 = 226.73 : x
  2. Step 2: Convert to fraction form
    500.83/751.22 = 226.73/x
  3. Step 3: Cross multiply
    500.83x = 751.22 × 226.73
  4. Step 4: Simplify right side
    500.83x = 170,320.92
  5. Step 5: Solve for x
    x = 170,320.92/500.83
  6. Step 6: Final answer
    x = 340.08

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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.