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Finding the Fourth Proportional to 564.31, 778.60 and 377.67

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Solution

The fourth proportional to 564.31, 778.60 and 377.67 is: 521.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.31 : 778.60 = 377.67 : x
  2. Step 2: Convert to fraction form
    564.31/778.60 = 377.67/x
  3. Step 3: Cross multiply
    564.31x = 778.60 × 377.67
  4. Step 4: Simplify right side
    564.31x = 294,057.25
  5. Step 5: Solve for x
    x = 294,057.25/564.31
  6. Step 6: Final answer
    x = 521.09

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