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Finding the Fourth Proportional to 564.46, 847.08 and 199.26

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Solution

The fourth proportional to 564.46, 847.08 and 199.26 is: 299.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.46 : 847.08 = 199.26 : x
  2. Step 2: Convert to fraction form
    564.46/847.08 = 199.26/x
  3. Step 3: Cross multiply
    564.46x = 847.08 × 199.26
  4. Step 4: Simplify right side
    564.46x = 168,789.16
  5. Step 5: Solve for x
    x = 168,789.16/564.46
  6. Step 6: Final answer
    x = 299.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.