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Finding the Fourth Proportional to 681.48, 940.58 and 433.12

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Solution

The fourth proportional to 681.48, 940.58 and 433.12 is: 597.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.48 : 940.58 = 433.12 : x
  2. Step 2: Convert to fraction form
    681.48/940.58 = 433.12/x
  3. Step 3: Cross multiply
    681.48x = 940.58 × 433.12
  4. Step 4: Simplify right side
    681.48x = 407,384.01
  5. Step 5: Solve for x
    x = 407,384.01/681.48
  6. Step 6: Final answer
    x = 597.79

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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.