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Finding the Fourth Proportional to 464.22, 696.26 and 175.64

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Solution

The fourth proportional to 464.22, 696.26 and 175.64 is: 263.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.22 : 696.26 = 175.64 : x
  2. Step 2: Convert to fraction form
    464.22/696.26 = 175.64/x
  3. Step 3: Cross multiply
    464.22x = 696.26 × 175.64
  4. Step 4: Simplify right side
    464.22x = 122,291.11
  5. Step 5: Solve for x
    x = 122,291.11/464.22
  6. Step 6: Final answer
    x = 263.43

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