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Finding the Fourth Proportional to 425.74, 638.59 and 280.40

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Solution

The fourth proportional to 425.74, 638.59 and 280.40 is: 420.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.74 : 638.59 = 280.40 : x
  2. Step 2: Convert to fraction form
    425.74/638.59 = 280.40/x
  3. Step 3: Cross multiply
    425.74x = 638.59 × 280.40
  4. Step 4: Simplify right side
    425.74x = 179,060.64
  5. Step 5: Solve for x
    x = 179,060.64/425.74
  6. Step 6: Final answer
    x = 420.59

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