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Finding the Fourth Proportional to 567.44, 852.96 and 538.64

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Solution

The fourth proportional to 567.44, 852.96 and 538.64 is: 809.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.44 : 852.96 = 538.64 : x
  2. Step 2: Convert to fraction form
    567.44/852.96 = 538.64/x
  3. Step 3: Cross multiply
    567.44x = 852.96 × 538.64
  4. Step 4: Simplify right side
    567.44x = 459,438.37
  5. Step 5: Solve for x
    x = 459,438.37/567.44
  6. Step 6: Final answer
    x = 809.67

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