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Finding the Fourth Proportional to 464.02, 695.07 and 280.96

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Solution

The fourth proportional to 464.02, 695.07 and 280.96 is: 420.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.02 : 695.07 = 280.96 : x
  2. Step 2: Convert to fraction form
    464.02/695.07 = 280.96/x
  3. Step 3: Cross multiply
    464.02x = 695.07 × 280.96
  4. Step 4: Simplify right side
    464.02x = 195,286.87
  5. Step 5: Solve for x
    x = 195,286.87/464.02
  6. Step 6: Final answer
    x = 420.86

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