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Finding the Fourth Proportional to 428.98, 643.41 and 255.10

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Solution

The fourth proportional to 428.98, 643.41 and 255.10 is: 382.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.98 : 643.41 = 255.10 : x
  2. Step 2: Convert to fraction form
    428.98/643.41 = 255.10/x
  3. Step 3: Cross multiply
    428.98x = 643.41 × 255.10
  4. Step 4: Simplify right side
    428.98x = 164,133.89
  5. Step 5: Solve for x
    x = 164,133.89/428.98
  6. Step 6: Final answer
    x = 382.61

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