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Finding the Fourth Proportional to 464.42, 696.81 and 176.06

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Solution

The fourth proportional to 464.42, 696.81 and 176.06 is: 264.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.42 : 696.81 = 176.06 : x
  2. Step 2: Convert to fraction form
    464.42/696.81 = 176.06/x
  3. Step 3: Cross multiply
    464.42x = 696.81 × 176.06
  4. Step 4: Simplify right side
    464.42x = 122,680.37
  5. Step 5: Solve for x
    x = 122,680.37/464.42
  6. Step 6: Final answer
    x = 264.16

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