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Finding the Fourth Proportional to 470.89, 705.82 and 265.40

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Solution

The fourth proportional to 470.89, 705.82 and 265.40 is: 397.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.89 : 705.82 = 265.40 : x
  2. Step 2: Convert to fraction form
    470.89/705.82 = 265.40/x
  3. Step 3: Cross multiply
    470.89x = 705.82 × 265.40
  4. Step 4: Simplify right side
    470.89x = 187,324.63
  5. Step 5: Solve for x
    x = 187,324.63/470.89
  6. Step 6: Final answer
    x = 397.81

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