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Finding the Fourth Proportional to 522.63, 784.06 and 180.63

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Solution

The fourth proportional to 522.63, 784.06 and 180.63 is: 270.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.63 : 784.06 = 180.63 : x
  2. Step 2: Convert to fraction form
    522.63/784.06 = 180.63/x
  3. Step 3: Cross multiply
    522.63x = 784.06 × 180.63
  4. Step 4: Simplify right side
    522.63x = 141,620.39
  5. Step 5: Solve for x
    x = 141,620.39/522.63
  6. Step 6: Final answer
    x = 270.98

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