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Finding the Fourth Proportional to 418.61, 577.80 and 285.77

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Solution

The fourth proportional to 418.61, 577.80 and 285.77 is: 394.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.61 : 577.80 = 285.77 : x
  2. Step 2: Convert to fraction form
    418.61/577.80 = 285.77/x
  3. Step 3: Cross multiply
    418.61x = 577.80 × 285.77
  4. Step 4: Simplify right side
    418.61x = 165,115.02
  5. Step 5: Solve for x
    x = 165,115.02/418.61
  6. Step 6: Final answer
    x = 394.44

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