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Finding the Fourth Proportional to 464.79, 697.38 and 176.16

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Solution

The fourth proportional to 464.79, 697.38 and 176.16 is: 264.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.79 : 697.38 = 176.16 : x
  2. Step 2: Convert to fraction form
    464.79/697.38 = 176.16/x
  3. Step 3: Cross multiply
    464.79x = 697.38 × 176.16
  4. Step 4: Simplify right side
    464.79x = 122,849.16
  5. Step 5: Solve for x
    x = 122,849.16/464.79
  6. Step 6: Final answer
    x = 264.31

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