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Finding the Fourth Proportional to 464.64, 696.98 and 175.92

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Solution

The fourth proportional to 464.64, 696.98 and 175.92 is: 263.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.64 : 696.98 = 175.92 : x
  2. Step 2: Convert to fraction form
    464.64/696.98 = 175.92/x
  3. Step 3: Cross multiply
    464.64x = 696.98 × 175.92
  4. Step 4: Simplify right side
    464.64x = 122,612.72
  5. Step 5: Solve for x
    x = 122,612.72/464.64
  6. Step 6: Final answer
    x = 263.89

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