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Finding the Fourth Proportional to 563.12, 777 and 314.44

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Solution

The fourth proportional to 563.12, 777 and 314.44 is: 433.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.12 : 777 = 314.44 : x
  2. Step 2: Convert to fraction form
    563.12/777 = 314.44/x
  3. Step 3: Cross multiply
    563.12x = 777 × 314.44
  4. Step 4: Simplify right side
    563.12x = 244,319.88
  5. Step 5: Solve for x
    x = 244,319.88/563.12
  6. Step 6: Final answer
    x = 433.87

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