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Finding the Fourth Proportional to 419.87, 578.66 and 349.94

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Solution

The fourth proportional to 419.87, 578.66 and 349.94 is: 482.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.87 : 578.66 = 349.94 : x
  2. Step 2: Convert to fraction form
    419.87/578.66 = 349.94/x
  3. Step 3: Cross multiply
    419.87x = 578.66 × 349.94
  4. Step 4: Simplify right side
    419.87x = 202,491.64
  5. Step 5: Solve for x
    x = 202,491.64/419.87
  6. Step 6: Final answer
    x = 482.28

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