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Finding the Fourth Proportional to 681.67, 940.41 and 433.14

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Solution

The fourth proportional to 681.67, 940.41 and 433.14 is: 597.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.67 : 940.41 = 433.14 : x
  2. Step 2: Convert to fraction form
    681.67/940.41 = 433.14/x
  3. Step 3: Cross multiply
    681.67x = 940.41 × 433.14
  4. Step 4: Simplify right side
    681.67x = 407,329.19
  5. Step 5: Solve for x
    x = 407,329.19/681.67
  6. Step 6: Final answer
    x = 597.55

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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.