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Finding the Fourth Proportional to 564.18, 778.86 and 367.80

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Solution

The fourth proportional to 564.18, 778.86 and 367.80 is: 507.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.18 : 778.86 = 367.80 : x
  2. Step 2: Convert to fraction form
    564.18/778.86 = 367.80/x
  3. Step 3: Cross multiply
    564.18x = 778.86 × 367.80
  4. Step 4: Simplify right side
    564.18x = 286,464.71
  5. Step 5: Solve for x
    x = 286,464.71/564.18
  6. Step 6: Final answer
    x = 507.75

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