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Finding the Fourth Proportional to 564.85, 847.37 and 199.54

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Solution

The fourth proportional to 564.85, 847.37 and 199.54 is: 299.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.85 : 847.37 = 199.54 : x
  2. Step 2: Convert to fraction form
    564.85/847.37 = 199.54/x
  3. Step 3: Cross multiply
    564.85x = 847.37 × 199.54
  4. Step 4: Simplify right side
    564.85x = 169,084.21
  5. Step 5: Solve for x
    x = 169,084.21/564.85
  6. Step 6: Final answer
    x = 299.34

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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.