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Finding the Fourth Proportional to 420.25, 630.98 and 257.44

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Solution

The fourth proportional to 420.25, 630.98 and 257.44 is: 386.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.25 : 630.98 = 257.44 : x
  2. Step 2: Convert to fraction form
    420.25/630.98 = 257.44/x
  3. Step 3: Cross multiply
    420.25x = 630.98 × 257.44
  4. Step 4: Simplify right side
    420.25x = 162,439.49
  5. Step 5: Solve for x
    x = 162,439.49/420.25
  6. Step 6: Final answer
    x = 386.53

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