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Finding the Fourth Proportional to 665.12, 997.84 and 280.40

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Solution

The fourth proportional to 665.12, 997.84 and 280.40 is: 420.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.12 : 997.84 = 280.40 : x
  2. Step 2: Convert to fraction form
    665.12/997.84 = 280.40/x
  3. Step 3: Cross multiply
    665.12x = 997.84 × 280.40
  4. Step 4: Simplify right side
    665.12x = 279,794.34
  5. Step 5: Solve for x
    x = 279,794.34/665.12
  6. Step 6: Final answer
    x = 420.67

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