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Finding the Fourth Proportional to 585.86, 878.66 and 261.02

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Solution

The fourth proportional to 585.86, 878.66 and 261.02 is: 391.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.86 : 878.66 = 261.02 : x
  2. Step 2: Convert to fraction form
    585.86/878.66 = 261.02/x
  3. Step 3: Cross multiply
    585.86x = 878.66 × 261.02
  4. Step 4: Simplify right side
    585.86x = 229,347.83
  5. Step 5: Solve for x
    x = 229,347.83/585.86
  6. Step 6: Final answer
    x = 391.47

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