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Finding the Fourth Proportional to 586.29, 879.39 and 261.66

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Solution

The fourth proportional to 586.29, 879.39 and 261.66 is: 392.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.29 : 879.39 = 261.66 : x
  2. Step 2: Convert to fraction form
    586.29/879.39 = 261.66/x
  3. Step 3: Cross multiply
    586.29x = 879.39 × 261.66
  4. Step 4: Simplify right side
    586.29x = 230,101.19
  5. Step 5: Solve for x
    x = 230,101.19/586.29
  6. Step 6: Final answer
    x = 392.47

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