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Finding the Fourth Proportional to 863.37, 1,294.35 and 343.15

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Solution

The fourth proportional to 863.37, 1,294.35 and 343.15 is: 514.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.37 : 1,294.35 = 343.15 : x
  2. Step 2: Convert to fraction form
    863.37/1,294.35 = 343.15/x
  3. Step 3: Cross multiply
    863.37x = 1,294.35 × 343.15
  4. Step 4: Simplify right side
    863.37x = 444,151.25
  5. Step 5: Solve for x
    x = 444,151.25/863.37
  6. Step 6: Final answer
    x = 514.44

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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.