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Finding the Fourth Proportional to 547.44, 820.94 and 200.67

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Solution

The fourth proportional to 547.44, 820.94 and 200.67 is: 300.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.44 : 820.94 = 200.67 : x
  2. Step 2: Convert to fraction form
    547.44/820.94 = 200.67/x
  3. Step 3: Cross multiply
    547.44x = 820.94 × 200.67
  4. Step 4: Simplify right side
    547.44x = 164,737.03
  5. Step 5: Solve for x
    x = 164,737.03/547.44
  6. Step 6: Final answer
    x = 300.92

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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.