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Finding the Fourth Proportional to 564, 778.32 and 367.85

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Solution

The fourth proportional to 564, 778.32 and 367.85 is: 507.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    564 : 778.32 = 367.85 : x
  2. Step 2: Convert to fraction form
    564/778.32 = 367.85/x
  3. Step 3: Cross multiply
    564x = 778.32 × 367.85
  4. Step 4: Simplify right side
    564x = 286,301.12
  5. Step 5: Solve for x
    x = 286,301.12/564
  6. Step 6: Final answer
    x = 507.63

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