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Finding the Fourth Proportional to 547.39, 820.56 and 200.63

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Solution

The fourth proportional to 547.39, 820.56 and 200.63 is: 300.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.39 : 820.56 = 200.63 : x
  2. Step 2: Convert to fraction form
    547.39/820.56 = 200.63/x
  3. Step 3: Cross multiply
    547.39x = 820.56 × 200.63
  4. Step 4: Simplify right side
    547.39x = 164,628.95
  5. Step 5: Solve for x
    x = 164,628.95/547.39
  6. Step 6: Final answer
    x = 300.76

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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.