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Finding the Fourth Proportional to 465.12, 697.52 and 176.56

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Solution

The fourth proportional to 465.12, 697.52 and 176.56 is: 264.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.12 : 697.52 = 176.56 : x
  2. Step 2: Convert to fraction form
    465.12/697.52 = 176.56/x
  3. Step 3: Cross multiply
    465.12x = 697.52 × 176.56
  4. Step 4: Simplify right side
    465.12x = 123,154.13
  5. Step 5: Solve for x
    x = 123,154.13/465.12
  6. Step 6: Final answer
    x = 264.78

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