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Finding the Fourth Proportional to 419.81, 578.36 and 295.25

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Solution

The fourth proportional to 419.81, 578.36 and 295.25 is: 406.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.81 : 578.36 = 295.25 : x
  2. Step 2: Convert to fraction form
    419.81/578.36 = 295.25/x
  3. Step 3: Cross multiply
    419.81x = 578.36 × 295.25
  4. Step 4: Simplify right side
    419.81x = 170,756.42
  5. Step 5: Solve for x
    x = 170,756.42/419.81
  6. Step 6: Final answer
    x = 406.75

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