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Finding the Fourth Proportional to 547.35, 821.04 and 200.70

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Solution

The fourth proportional to 547.35, 821.04 and 200.70 is: 301.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.35 : 821.04 = 200.70 : x
  2. Step 2: Convert to fraction form
    547.35/821.04 = 200.70/x
  3. Step 3: Cross multiply
    547.35x = 821.04 × 200.70
  4. Step 4: Simplify right side
    547.35x = 164,782.73
  5. Step 5: Solve for x
    x = 164,782.73/547.35
  6. Step 6: Final answer
    x = 301.06

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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.