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Finding the Fourth Proportional to 682.05, 940.73 and 445.62

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Solution

The fourth proportional to 682.05, 940.73 and 445.62 is: 614.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.05 : 940.73 = 445.62 : x
  2. Step 2: Convert to fraction form
    682.05/940.73 = 445.62/x
  3. Step 3: Cross multiply
    682.05x = 940.73 × 445.62
  4. Step 4: Simplify right side
    682.05x = 419,208.10
  5. Step 5: Solve for x
    x = 419,208.10/682.05
  6. Step 6: Final answer
    x = 614.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.