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Finding the Fourth Proportional to 281.53, 421.43 and 257.61

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Solution

The fourth proportional to 281.53, 421.43 and 257.61 is: 385.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.53 : 421.43 = 257.61 : x
  2. Step 2: Convert to fraction form
    281.53/421.43 = 257.61/x
  3. Step 3: Cross multiply
    281.53x = 421.43 × 257.61
  4. Step 4: Simplify right side
    281.53x = 108,564.58
  5. Step 5: Solve for x
    x = 108,564.58/281.53
  6. Step 6: Final answer
    x = 385.62

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