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Finding the Fourth Proportional to 585.52, 878 and 311.74

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Solution

The fourth proportional to 585.52, 878 and 311.74 is: 467.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.52 : 878 = 311.74 : x
  2. Step 2: Convert to fraction form
    585.52/878 = 311.74/x
  3. Step 3: Cross multiply
    585.52x = 878 × 311.74
  4. Step 4: Simplify right side
    585.52x = 273,707.72
  5. Step 5: Solve for x
    x = 273,707.72/585.52
  6. Step 6: Final answer
    x = 467.46

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