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Finding the Fourth Proportional to 547.05, 820.57 and 200.38

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Solution

The fourth proportional to 547.05, 820.57 and 200.38 is: 300.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.05 : 820.57 = 200.38 : x
  2. Step 2: Convert to fraction form
    547.05/820.57 = 200.38/x
  3. Step 3: Cross multiply
    547.05x = 820.57 × 200.38
  4. Step 4: Simplify right side
    547.05x = 164,425.82
  5. Step 5: Solve for x
    x = 164,425.82/547.05
  6. Step 6: Final answer
    x = 300.57

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Why These Related Problems?

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