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Finding the Fourth Proportional to 681.14, 940.28 and 432.60

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Solution

The fourth proportional to 681.14, 940.28 and 432.60 is: 597.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.14 : 940.28 = 432.60 : x
  2. Step 2: Convert to fraction form
    681.14/940.28 = 432.60/x
  3. Step 3: Cross multiply
    681.14x = 940.28 × 432.60
  4. Step 4: Simplify right side
    681.14x = 406,762.97
  5. Step 5: Solve for x
    x = 406,762.97/681.14
  6. Step 6: Final answer
    x = 597.18

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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.