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Finding the Fourth Proportional to 397.12, 595.72 and 177.76

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Solution

The fourth proportional to 397.12, 595.72 and 177.76 is: 266.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.12 : 595.72 = 177.76 : x
  2. Step 2: Convert to fraction form
    397.12/595.72 = 177.76/x
  3. Step 3: Cross multiply
    397.12x = 595.72 × 177.76
  4. Step 4: Simplify right side
    397.12x = 105,895.19
  5. Step 5: Solve for x
    x = 105,895.19/397.12
  6. Step 6: Final answer
    x = 266.66

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