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Finding the Fourth Proportional to 523.47, 785.21 and 176.76

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Solution

The fourth proportional to 523.47, 785.21 and 176.76 is: 265.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.47 : 785.21 = 176.76 : x
  2. Step 2: Convert to fraction form
    523.47/785.21 = 176.76/x
  3. Step 3: Cross multiply
    523.47x = 785.21 × 176.76
  4. Step 4: Simplify right side
    523.47x = 138,793.72
  5. Step 5: Solve for x
    x = 138,793.72/523.47
  6. Step 6: Final answer
    x = 265.14

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