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Finding the Fourth Proportional to 419.53, 628.75 and 213.93

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Solution

The fourth proportional to 419.53, 628.75 and 213.93 is: 320.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.53 : 628.75 = 213.93 : x
  2. Step 2: Convert to fraction form
    419.53/628.75 = 213.93/x
  3. Step 3: Cross multiply
    419.53x = 628.75 × 213.93
  4. Step 4: Simplify right side
    419.53x = 134,508.49
  5. Step 5: Solve for x
    x = 134,508.49/419.53
  6. Step 6: Final answer
    x = 320.62

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