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Finding the Fourth Proportional to 863.28, 1,294.64 and 286

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Solution

The fourth proportional to 863.28, 1,294.64 and 286 is: 428.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.28 : 1,294.64 = 286 : x
  2. Step 2: Convert to fraction form
    863.28/1,294.64 = 286/x
  3. Step 3: Cross multiply
    863.28x = 1,294.64 × 286
  4. Step 4: Simplify right side
    863.28x = 370,267.04
  5. Step 5: Solve for x
    x = 370,267.04/863.28
  6. Step 6: Final answer
    x = 428.91

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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.