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Finding the Fourth Proportional to 863.42, 1,295.73 and 343.53

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Solution

The fourth proportional to 863.42, 1,295.73 and 343.53 is: 515.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.42 : 1,295.73 = 343.53 : x
  2. Step 2: Convert to fraction form
    863.42/1,295.73 = 343.53/x
  3. Step 3: Cross multiply
    863.42x = 1,295.73 × 343.53
  4. Step 4: Simplify right side
    863.42x = 445,122.13
  5. Step 5: Solve for x
    x = 445,122.13/863.42
  6. Step 6: Final answer
    x = 515.54

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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.