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Finding the Fourth Proportional to 564.26, 778.46 and 367.70

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Solution

The fourth proportional to 564.26, 778.46 and 367.70 is: 507.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.26 : 778.46 = 367.70 : x
  2. Step 2: Convert to fraction form
    564.26/778.46 = 367.70/x
  3. Step 3: Cross multiply
    564.26x = 778.46 × 367.70
  4. Step 4: Simplify right side
    564.26x = 286,234.01
  5. Step 5: Solve for x
    x = 286,234.01/564.26
  6. Step 6: Final answer
    x = 507.28

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