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Finding the Fourth Proportional to 681.62, 940.37 and 415.94

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Solution

The fourth proportional to 681.62, 940.37 and 415.94 is: 573.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.62 : 940.37 = 415.94 : x
  2. Step 2: Convert to fraction form
    681.62/940.37 = 415.94/x
  3. Step 3: Cross multiply
    681.62x = 940.37 × 415.94
  4. Step 4: Simplify right side
    681.62x = 391,130.72
  5. Step 5: Solve for x
    x = 391,130.72/681.62
  6. Step 6: Final answer
    x = 573.83

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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.