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Finding the Fourth Proportional to 462.66, 693.96 and 280.14

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Solution

The fourth proportional to 462.66, 693.96 and 280.14 is: 420.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.66 : 693.96 = 280.14 : x
  2. Step 2: Convert to fraction form
    462.66/693.96 = 280.14/x
  3. Step 3: Cross multiply
    462.66x = 693.96 × 280.14
  4. Step 4: Simplify right side
    462.66x = 194,405.95
  5. Step 5: Solve for x
    x = 194,405.95/462.66
  6. Step 6: Final answer
    x = 420.19

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