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Finding the Fourth Proportional to 866.38, 1,299.16 and 288.85

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Solution

The fourth proportional to 866.38, 1,299.16 and 288.85 is: 433.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.38 : 1,299.16 = 288.85 : x
  2. Step 2: Convert to fraction form
    866.38/1,299.16 = 288.85/x
  3. Step 3: Cross multiply
    866.38x = 1,299.16 × 288.85
  4. Step 4: Simplify right side
    866.38x = 375,255.15
  5. Step 5: Solve for x
    x = 375,255.15/866.38
  6. Step 6: Final answer
    x = 433.13

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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.