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Finding the Fourth Proportional to 863.15, 1,294.45 and 343.00

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Solution

The fourth proportional to 863.15, 1,294.45 and 343.00 is: 514.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.15 : 1,294.45 = 343.00 : x
  2. Step 2: Convert to fraction form
    863.15/1,294.45 = 343.00/x
  3. Step 3: Cross multiply
    863.15x = 1,294.45 × 343.00
  4. Step 4: Simplify right side
    863.15x = 443,997.11
  5. Step 5: Solve for x
    x = 443,997.11/863.15
  6. Step 6: Final answer
    x = 514.39

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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.