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Finding the Fourth Proportional to 523.47, 785.22 and 176.82

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Solution

The fourth proportional to 523.47, 785.22 and 176.82 is: 265.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.47 : 785.22 = 176.82 : x
  2. Step 2: Convert to fraction form
    523.47/785.22 = 176.82/x
  3. Step 3: Cross multiply
    523.47x = 785.22 × 176.82
  4. Step 4: Simplify right side
    523.47x = 138,842.60
  5. Step 5: Solve for x
    x = 138,842.60/523.47
  6. Step 6: Final answer
    x = 265.24

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