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Finding the Fourth Proportional to 419.29, 578.02 and 294.56

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Solution

The fourth proportional to 419.29, 578.02 and 294.56 is: 406.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.29 : 578.02 = 294.56 : x
  2. Step 2: Convert to fraction form
    419.29/578.02 = 294.56/x
  3. Step 3: Cross multiply
    419.29x = 578.02 × 294.56
  4. Step 4: Simplify right side
    419.29x = 170,261.67
  5. Step 5: Solve for x
    x = 170,261.67/419.29
  6. Step 6: Final answer
    x = 406.07

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