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Finding the Fourth Proportional to 816.67, 1,226.22 and 330.67

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Solution

The fourth proportional to 816.67, 1,226.22 and 330.67 is: 496.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.67 : 1,226.22 = 330.67 : x
  2. Step 2: Convert to fraction form
    816.67/1,226.22 = 330.67/x
  3. Step 3: Cross multiply
    816.67x = 1,226.22 × 330.67
  4. Step 4: Simplify right side
    816.67x = 405,474.17
  5. Step 5: Solve for x
    x = 405,474.17/816.67
  6. Step 6: Final answer
    x = 496.50

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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.