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Finding the Fourth Proportional to 464.02, 696 and 155.84

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Solution

The fourth proportional to 464.02, 696 and 155.84 is: 233.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.02 : 696 = 155.84 : x
  2. Step 2: Convert to fraction form
    464.02/696 = 155.84/x
  3. Step 3: Cross multiply
    464.02x = 696 × 155.84
  4. Step 4: Simplify right side
    464.02x = 108,464.64
  5. Step 5: Solve for x
    x = 108,464.64/464.02
  6. Step 6: Final answer
    x = 233.75

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