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Finding the Fourth Proportional to 470.40, 705.84 and 254.04

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Solution

The fourth proportional to 470.40, 705.84 and 254.04 is: 381.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.40 : 705.84 = 254.04 : x
  2. Step 2: Convert to fraction form
    470.40/705.84 = 254.04/x
  3. Step 3: Cross multiply
    470.40x = 705.84 × 254.04
  4. Step 4: Simplify right side
    470.40x = 179,311.59
  5. Step 5: Solve for x
    x = 179,311.59/470.40
  6. Step 6: Final answer
    x = 381.19

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