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Finding the Fourth Proportional to 681.69, 940.90 and 416.31

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Solution

The fourth proportional to 681.69, 940.90 and 416.31 is: 574.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.69 : 940.90 = 416.31 : x
  2. Step 2: Convert to fraction form
    681.69/940.90 = 416.31/x
  3. Step 3: Cross multiply
    681.69x = 940.90 × 416.31
  4. Step 4: Simplify right side
    681.69x = 391,706.08
  5. Step 5: Solve for x
    x = 391,706.08/681.69
  6. Step 6: Final answer
    x = 574.61

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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.