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Finding the Fourth Proportional to 863.58, 1,295.56 and 286.46

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Solution

The fourth proportional to 863.58, 1,295.56 and 286.46 is: 429.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.58 : 1,295.56 = 286.46 : x
  2. Step 2: Convert to fraction form
    863.58/1,295.56 = 286.46/x
  3. Step 3: Cross multiply
    863.58x = 1,295.56 × 286.46
  4. Step 4: Simplify right side
    863.58x = 371,126.12
  5. Step 5: Solve for x
    x = 371,126.12/863.58
  6. Step 6: Final answer
    x = 429.75

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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.