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Finding the Fourth Proportional to 419.51, 578.84 and 381.24

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Solution

The fourth proportional to 419.51, 578.84 and 381.24 is: 526.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.51 : 578.84 = 381.24 : x
  2. Step 2: Convert to fraction form
    419.51/578.84 = 381.24/x
  3. Step 3: Cross multiply
    419.51x = 578.84 × 381.24
  4. Step 4: Simplify right side
    419.51x = 220,676.96
  5. Step 5: Solve for x
    x = 220,676.96/419.51
  6. Step 6: Final answer
    x = 526.04

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