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Finding the Fourth Proportional to 420, 578.88 and 376.44

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Solution

The fourth proportional to 420, 578.88 and 376.44 is: 518.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    420 : 578.88 = 376.44 : x
  2. Step 2: Convert to fraction form
    420/578.88 = 376.44/x
  3. Step 3: Cross multiply
    420x = 578.88 × 376.44
  4. Step 4: Simplify right side
    420x = 217,913.59
  5. Step 5: Solve for x
    x = 217,913.59/420
  6. Step 6: Final answer
    x = 518.84

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