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Finding the Fourth Proportional to 585.16, 877.77 and 174.31

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Solution

The fourth proportional to 585.16, 877.77 and 174.31 is: 261.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.16 : 877.77 = 174.31 : x
  2. Step 2: Convert to fraction form
    585.16/877.77 = 174.31/x
  3. Step 3: Cross multiply
    585.16x = 877.77 × 174.31
  4. Step 4: Simplify right side
    585.16x = 153,004.09
  5. Step 5: Solve for x
    x = 153,004.09/585.16
  6. Step 6: Final answer
    x = 261.47

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