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Finding the Fourth Proportional to 470.12, 704.82 and 253.60

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Solution

The fourth proportional to 470.12, 704.82 and 253.60 is: 380.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.12 : 704.82 = 253.60 : x
  2. Step 2: Convert to fraction form
    470.12/704.82 = 253.60/x
  3. Step 3: Cross multiply
    470.12x = 704.82 × 253.60
  4. Step 4: Simplify right side
    470.12x = 178,742.35
  5. Step 5: Solve for x
    x = 178,742.35/470.12
  6. Step 6: Final answer
    x = 380.21

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