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Finding the Fourth Proportional to 419.08, 578.04 and 261.55

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Solution

The fourth proportional to 419.08, 578.04 and 261.55 is: 360.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.08 : 578.04 = 261.55 : x
  2. Step 2: Convert to fraction form
    419.08/578.04 = 261.55/x
  3. Step 3: Cross multiply
    419.08x = 578.04 × 261.55
  4. Step 4: Simplify right side
    419.08x = 151,186.36
  5. Step 5: Solve for x
    x = 151,186.36/419.08
  6. Step 6: Final answer
    x = 360.76

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