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Finding the Fourth Proportional to 473.12, 709.44 and 280.64

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Solution

The fourth proportional to 473.12, 709.44 and 280.64 is: 420.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.12 : 709.44 = 280.64 : x
  2. Step 2: Convert to fraction form
    473.12/709.44 = 280.64/x
  3. Step 3: Cross multiply
    473.12x = 709.44 × 280.64
  4. Step 4: Simplify right side
    473.12x = 199,097.24
  5. Step 5: Solve for x
    x = 199,097.24/473.12
  6. Step 6: Final answer
    x = 420.82

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