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Finding the Fourth Proportional to 681.57, 940.01 and 432.80

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Solution

The fourth proportional to 681.57, 940.01 and 432.80 is: 596.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.57 : 940.01 = 432.80 : x
  2. Step 2: Convert to fraction form
    681.57/940.01 = 432.80/x
  3. Step 3: Cross multiply
    681.57x = 940.01 × 432.80
  4. Step 4: Simplify right side
    681.57x = 406,829.46
  5. Step 5: Solve for x
    x = 406,829.46/681.57
  6. Step 6: Final answer
    x = 596.90

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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.