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Finding the Fourth Proportional to 585.24, 877.85 and 174.38

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Solution

The fourth proportional to 585.24, 877.85 and 174.38 is: 261.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.24 : 877.85 = 174.38 : x
  2. Step 2: Convert to fraction form
    585.24/877.85 = 174.38/x
  3. Step 3: Cross multiply
    585.24x = 877.85 × 174.38
  4. Step 4: Simplify right side
    585.24x = 153,079.48
  5. Step 5: Solve for x
    x = 153,079.48/585.24
  6. Step 6: Final answer
    x = 261.57

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