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Finding the Fourth Proportional to 428.26, 590.82 and 280.70

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Solution

The fourth proportional to 428.26, 590.82 and 280.70 is: 387.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.26 : 590.82 = 280.70 : x
  2. Step 2: Convert to fraction form
    428.26/590.82 = 280.70/x
  3. Step 3: Cross multiply
    428.26x = 590.82 × 280.70
  4. Step 4: Simplify right side
    428.26x = 165,843.17
  5. Step 5: Solve for x
    x = 165,843.17/428.26
  6. Step 6: Final answer
    x = 387.25

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