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Finding the Fourth Proportional to 523, 784.53 and 176.35

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Solution

The fourth proportional to 523, 784.53 and 176.35 is: 264.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    523 : 784.53 = 176.35 : x
  2. Step 2: Convert to fraction form
    523/784.53 = 176.35/x
  3. Step 3: Cross multiply
    523x = 784.53 × 176.35
  4. Step 4: Simplify right side
    523x = 138,351.87
  5. Step 5: Solve for x
    x = 138,351.87/523
  6. Step 6: Final answer
    x = 264.54

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