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Finding the Fourth Proportional to 866.81, 1,299.87 and 311.36

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Solution

The fourth proportional to 866.81, 1,299.87 and 311.36 is: 466.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.81 : 1,299.87 = 311.36 : x
  2. Step 2: Convert to fraction form
    866.81/1,299.87 = 311.36/x
  3. Step 3: Cross multiply
    866.81x = 1,299.87 × 311.36
  4. Step 4: Simplify right side
    866.81x = 404,730.77
  5. Step 5: Solve for x
    x = 404,730.77/866.81
  6. Step 6: Final answer
    x = 466.92

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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.