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Finding the Fourth Proportional to 574.16, 861.44 and 285.76

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Solution

The fourth proportional to 574.16, 861.44 and 285.76 is: 428.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.16 : 861.44 = 285.76 : x
  2. Step 2: Convert to fraction form
    574.16/861.44 = 285.76/x
  3. Step 3: Cross multiply
    574.16x = 861.44 × 285.76
  4. Step 4: Simplify right side
    574.16x = 246,165.09
  5. Step 5: Solve for x
    x = 246,165.09/574.16
  6. Step 6: Final answer
    x = 428.74

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