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Finding the Fourth Proportional to 464.00, 695.64 and 281.35

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Solution

The fourth proportional to 464.00, 695.64 and 281.35 is: 421.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.00 : 695.64 = 281.35 : x
  2. Step 2: Convert to fraction form
    464.00/695.64 = 281.35/x
  3. Step 3: Cross multiply
    464.00x = 695.64 × 281.35
  4. Step 4: Simplify right side
    464.00x = 195,720.24
  5. Step 5: Solve for x
    x = 195,720.24/464.00
  6. Step 6: Final answer
    x = 421.82

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