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Finding the Fourth Proportional to 863.61, 1,295.38 and 286.48

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Solution

The fourth proportional to 863.61, 1,295.38 and 286.48 is: 429.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.61 : 1,295.38 = 286.48 : x
  2. Step 2: Convert to fraction form
    863.61/1,295.38 = 286.48/x
  3. Step 3: Cross multiply
    863.61x = 1,295.38 × 286.48
  4. Step 4: Simplify right side
    863.61x = 371,100.46
  5. Step 5: Solve for x
    x = 371,100.46/863.61
  6. Step 6: Final answer
    x = 429.71

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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.