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Finding the Fourth Proportional to 470.18, 705 and 401.42

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Solution

The fourth proportional to 470.18, 705 and 401.42 is: 601.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.18 : 705 = 401.42 : x
  2. Step 2: Convert to fraction form
    470.18/705 = 401.42/x
  3. Step 3: Cross multiply
    470.18x = 705 × 401.42
  4. Step 4: Simplify right side
    470.18x = 283,001.10
  5. Step 5: Solve for x
    x = 283,001.10/470.18
  6. Step 6: Final answer
    x = 601.90

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