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Finding the Fourth Proportional to 428.24, 641.64 and 305.90

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Solution

The fourth proportional to 428.24, 641.64 and 305.90 is: 458.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.24 : 641.64 = 305.90 : x
  2. Step 2: Convert to fraction form
    428.24/641.64 = 305.90/x
  3. Step 3: Cross multiply
    428.24x = 641.64 × 305.90
  4. Step 4: Simplify right side
    428.24x = 196,274.47
  5. Step 5: Solve for x
    x = 196,274.47/428.24
  6. Step 6: Final answer
    x = 458.33

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