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Finding the Fourth Proportional to 547.10, 820.71 and 200.59

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Solution

The fourth proportional to 547.10, 820.71 and 200.59 is: 300.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.10 : 820.71 = 200.59 : x
  2. Step 2: Convert to fraction form
    547.10/820.71 = 200.59/x
  3. Step 3: Cross multiply
    547.10x = 820.71 × 200.59
  4. Step 4: Simplify right side
    547.10x = 164,626.22
  5. Step 5: Solve for x
    x = 164,626.22/547.10
  6. Step 6: Final answer
    x = 300.91

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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.