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Finding the Fourth Proportional to 564.85, 779.64 and 378.35

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Solution

The fourth proportional to 564.85, 779.64 and 378.35 is: 522.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.85 : 779.64 = 378.35 : x
  2. Step 2: Convert to fraction form
    564.85/779.64 = 378.35/x
  3. Step 3: Cross multiply
    564.85x = 779.64 × 378.35
  4. Step 4: Simplify right side
    564.85x = 294,972.90
  5. Step 5: Solve for x
    x = 294,972.90/564.85
  6. Step 6: Final answer
    x = 522.22

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