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Finding the Fourth Proportional to 551.22, 826.83 and 226.52

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Solution

The fourth proportional to 551.22, 826.83 and 226.52 is: 339.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.22 : 826.83 = 226.52 : x
  2. Step 2: Convert to fraction form
    551.22/826.83 = 226.52/x
  3. Step 3: Cross multiply
    551.22x = 826.83 × 226.52
  4. Step 4: Simplify right side
    551.22x = 187,289.40
  5. Step 5: Solve for x
    x = 187,289.40/551.22
  6. Step 6: Final answer
    x = 339.77

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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.