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Finding the Fourth Proportional to 280.81, 420.95 and 257.75

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Solution

The fourth proportional to 280.81, 420.95 and 257.75 is: 386.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.81 : 420.95 = 257.75 : x
  2. Step 2: Convert to fraction form
    280.81/420.95 = 257.75/x
  3. Step 3: Cross multiply
    280.81x = 420.95 × 257.75
  4. Step 4: Simplify right side
    280.81x = 108,497.76
  5. Step 5: Solve for x
    x = 108,497.76/280.81
  6. Step 6: Final answer
    x = 386.38

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