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Finding the Fourth Proportional to 681.54, 940.53 and 416.22

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Solution

The fourth proportional to 681.54, 940.53 and 416.22 is: 574.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.54 : 940.53 = 416.22 : x
  2. Step 2: Convert to fraction form
    681.54/940.53 = 416.22/x
  3. Step 3: Cross multiply
    681.54x = 940.53 × 416.22
  4. Step 4: Simplify right side
    681.54x = 391,467.40
  5. Step 5: Solve for x
    x = 391,467.40/681.54
  6. Step 6: Final answer
    x = 574.39

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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.