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Finding the Fourth Proportional to 863.50, 1,295.70 and 343.63

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Solution

The fourth proportional to 863.50, 1,295.70 and 343.63 is: 515.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.50 : 1,295.70 = 343.63 : x
  2. Step 2: Convert to fraction form
    863.50/1,295.70 = 343.63/x
  3. Step 3: Cross multiply
    863.50x = 1,295.70 × 343.63
  4. Step 4: Simplify right side
    863.50x = 445,241.39
  5. Step 5: Solve for x
    x = 445,241.39/863.50
  6. Step 6: Final answer
    x = 515.62

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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.