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Finding the Fourth Proportional to 419.06, 628.64 and 145.08

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Solution

The fourth proportional to 419.06, 628.64 and 145.08 is: 217.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.06 : 628.64 = 145.08 : x
  2. Step 2: Convert to fraction form
    419.06/628.64 = 145.08/x
  3. Step 3: Cross multiply
    419.06x = 628.64 × 145.08
  4. Step 4: Simplify right side
    419.06x = 91,202.37
  5. Step 5: Solve for x
    x = 91,202.37/419.06
  6. Step 6: Final answer
    x = 217.64

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