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Finding the Fourth Proportional to 681.36, 940.03 and 415.69

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Solution

The fourth proportional to 681.36, 940.03 and 415.69 is: 573.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.36 : 940.03 = 415.69 : x
  2. Step 2: Convert to fraction form
    681.36/940.03 = 415.69/x
  3. Step 3: Cross multiply
    681.36x = 940.03 × 415.69
  4. Step 4: Simplify right side
    681.36x = 390,761.07
  5. Step 5: Solve for x
    x = 390,761.07/681.36
  6. Step 6: Final answer
    x = 573.50

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