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Finding the Fourth Proportional to 585.42, 878.48 and 338.94

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Solution

The fourth proportional to 585.42, 878.48 and 338.94 is: 508.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.42 : 878.48 = 338.94 : x
  2. Step 2: Convert to fraction form
    585.42/878.48 = 338.94/x
  3. Step 3: Cross multiply
    585.42x = 878.48 × 338.94
  4. Step 4: Simplify right side
    585.42x = 297,752.01
  5. Step 5: Solve for x
    x = 297,752.01/585.42
  6. Step 6: Final answer
    x = 508.61

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