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Finding the Fourth Proportional to 419.04, 624.78 and 382.86

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Solution

The fourth proportional to 419.04, 624.78 and 382.86 is: 570.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.04 : 624.78 = 382.86 : x
  2. Step 2: Convert to fraction form
    419.04/624.78 = 382.86/x
  3. Step 3: Cross multiply
    419.04x = 624.78 × 382.86
  4. Step 4: Simplify right side
    419.04x = 239,203.27
  5. Step 5: Solve for x
    x = 239,203.27/419.04
  6. Step 6: Final answer
    x = 570.84

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