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Finding the Fourth Proportional to 462.25, 693.99 and 400.44

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Solution

The fourth proportional to 462.25, 693.99 and 400.44 is: 601.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.25 : 693.99 = 400.44 : x
  2. Step 2: Convert to fraction form
    462.25/693.99 = 400.44/x
  3. Step 3: Cross multiply
    462.25x = 693.99 × 400.44
  4. Step 4: Simplify right side
    462.25x = 277,901.36
  5. Step 5: Solve for x
    x = 277,901.36/462.25
  6. Step 6: Final answer
    x = 601.20

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