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Finding the Fourth Proportional to 523.86, 785.43 and 177.03

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Solution

The fourth proportional to 523.86, 785.43 and 177.03 is: 265.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.86 : 785.43 = 177.03 : x
  2. Step 2: Convert to fraction form
    523.86/785.43 = 177.03/x
  3. Step 3: Cross multiply
    523.86x = 785.43 × 177.03
  4. Step 4: Simplify right side
    523.86x = 139,039.86
  5. Step 5: Solve for x
    x = 139,039.86/523.86
  6. Step 6: Final answer
    x = 265.42

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