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Finding the Fourth Proportional to 419.48, 578.84 and 262.08

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Solution

The fourth proportional to 419.48, 578.84 and 262.08 is: 361.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.48 : 578.84 = 262.08 : x
  2. Step 2: Convert to fraction form
    419.48/578.84 = 262.08/x
  3. Step 3: Cross multiply
    419.48x = 578.84 × 262.08
  4. Step 4: Simplify right side
    419.48x = 151,702.39
  5. Step 5: Solve for x
    x = 151,702.39/419.48
  6. Step 6: Final answer
    x = 361.64

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