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Finding the Fourth Proportional to 866.36, 1,299.75 and 289.28

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Solution

The fourth proportional to 866.36, 1,299.75 and 289.28 is: 433.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.36 : 1,299.75 = 289.28 : x
  2. Step 2: Convert to fraction form
    866.36/1,299.75 = 289.28/x
  3. Step 3: Cross multiply
    866.36x = 1,299.75 × 289.28
  4. Step 4: Simplify right side
    866.36x = 375,991.68
  5. Step 5: Solve for x
    x = 375,991.68/866.36
  6. Step 6: Final answer
    x = 433.99

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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.