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Finding the Fourth Proportional to 428.11, 590.84 and 280.83

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Solution

The fourth proportional to 428.11, 590.84 and 280.83 is: 387.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.11 : 590.84 = 280.83 : x
  2. Step 2: Convert to fraction form
    428.11/590.84 = 280.83/x
  3. Step 3: Cross multiply
    428.11x = 590.84 × 280.83
  4. Step 4: Simplify right side
    428.11x = 165,925.60
  5. Step 5: Solve for x
    x = 165,925.60/428.11
  6. Step 6: Final answer
    x = 387.58

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