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Finding the Fourth Proportional to 466.81, 644.21 and 257.00

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Solution

The fourth proportional to 466.81, 644.21 and 257.00 is: 354.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.81 : 644.21 = 257.00 : x
  2. Step 2: Convert to fraction form
    466.81/644.21 = 257.00/x
  3. Step 3: Cross multiply
    466.81x = 644.21 × 257.00
  4. Step 4: Simplify right side
    466.81x = 165,557.46
  5. Step 5: Solve for x
    x = 165,557.46/466.81
  6. Step 6: Final answer
    x = 354.66

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