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Finding the Fourth Proportional to 397.14, 595.71 and 177.71

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Solution

The fourth proportional to 397.14, 595.71 and 177.71 is: 266.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.14 : 595.71 = 177.71 : x
  2. Step 2: Convert to fraction form
    397.14/595.71 = 177.71/x
  3. Step 3: Cross multiply
    397.14x = 595.71 × 177.71
  4. Step 4: Simplify right side
    397.14x = 105,861.25
  5. Step 5: Solve for x
    x = 105,861.25/397.14
  6. Step 6: Final answer
    x = 266.56

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