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Finding the Fourth Proportional to 547.29, 820.70 and 200.48

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Solution

The fourth proportional to 547.29, 820.70 and 200.48 is: 300.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.29 : 820.70 = 200.48 : x
  2. Step 2: Convert to fraction form
    547.29/820.70 = 200.48/x
  3. Step 3: Cross multiply
    547.29x = 820.70 × 200.48
  4. Step 4: Simplify right side
    547.29x = 164,528.83
  5. Step 5: Solve for x
    x = 164,528.83/547.29
  6. Step 6: Final answer
    x = 300.63

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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.