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Finding the Fourth Proportional to 470.08, 705.66 and 254.08

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Solution

The fourth proportional to 470.08, 705.66 and 254.08 is: 381.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.08 : 705.66 = 254.08 : x
  2. Step 2: Convert to fraction form
    470.08/705.66 = 254.08/x
  3. Step 3: Cross multiply
    470.08x = 705.66 × 254.08
  4. Step 4: Simplify right side
    470.08x = 179,294.09
  5. Step 5: Solve for x
    x = 179,294.09/470.08
  6. Step 6: Final answer
    x = 381.41

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