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Finding the Fourth Proportional to 523.75, 785.53 and 176.98

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Solution

The fourth proportional to 523.75, 785.53 and 176.98 is: 265.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.75 : 785.53 = 176.98 : x
  2. Step 2: Convert to fraction form
    523.75/785.53 = 176.98/x
  3. Step 3: Cross multiply
    523.75x = 785.53 × 176.98
  4. Step 4: Simplify right side
    523.75x = 139,023.10
  5. Step 5: Solve for x
    x = 139,023.10/523.75
  6. Step 6: Final answer
    x = 265.44

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