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Finding the Fourth Proportional to 817.78, 1,226.82 and 330.70

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Solution

The fourth proportional to 817.78, 1,226.82 and 330.70 is: 496.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.78 : 1,226.82 = 330.70 : x
  2. Step 2: Convert to fraction form
    817.78/1,226.82 = 330.70/x
  3. Step 3: Cross multiply
    817.78x = 1,226.82 × 330.70
  4. Step 4: Simplify right side
    817.78x = 405,709.37
  5. Step 5: Solve for x
    x = 405,709.37/817.78
  6. Step 6: Final answer
    x = 496.11

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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.