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Finding the Fourth Proportional to 470.16, 704.89 and 145.34

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Solution

The fourth proportional to 470.16, 704.89 and 145.34 is: 217.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.16 : 704.89 = 145.34 : x
  2. Step 2: Convert to fraction form
    470.16/704.89 = 145.34/x
  3. Step 3: Cross multiply
    470.16x = 704.89 × 145.34
  4. Step 4: Simplify right side
    470.16x = 102,448.71
  5. Step 5: Solve for x
    x = 102,448.71/470.16
  6. Step 6: Final answer
    x = 217.90

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