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Finding the Fourth Proportional to 457.85, 686.89 and 197.86

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Solution

The fourth proportional to 457.85, 686.89 and 197.86 is: 296.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.85 : 686.89 = 197.86 : x
  2. Step 2: Convert to fraction form
    457.85/686.89 = 197.86/x
  3. Step 3: Cross multiply
    457.85x = 686.89 × 197.86
  4. Step 4: Simplify right side
    457.85x = 135,908.06
  5. Step 5: Solve for x
    x = 135,908.06/457.85
  6. Step 6: Final answer
    x = 296.84

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