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Finding the Fourth Proportional to 457.61, 685.93 and 197.74

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Solution

The fourth proportional to 457.61, 685.93 and 197.74 is: 296.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.61 : 685.93 = 197.74 : x
  2. Step 2: Convert to fraction form
    457.61/685.93 = 197.74/x
  3. Step 3: Cross multiply
    457.61x = 685.93 × 197.74
  4. Step 4: Simplify right side
    457.61x = 135,632.06
  5. Step 5: Solve for x
    x = 135,632.06/457.61
  6. Step 6: Final answer
    x = 296.39

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