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Finding the Fourth Proportional to 681.55, 940.47 and 416.12

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Solution

The fourth proportional to 681.55, 940.47 and 416.12 is: 574.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.55 : 940.47 = 416.12 : x
  2. Step 2: Convert to fraction form
    681.55/940.47 = 416.12/x
  3. Step 3: Cross multiply
    681.55x = 940.47 × 416.12
  4. Step 4: Simplify right side
    681.55x = 391,351.71
  5. Step 5: Solve for x
    x = 391,351.71/681.55
  6. Step 6: Final answer
    x = 574.21

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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.