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Finding the Fourth Proportional to 547.49, 821.25 and 200.84

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Solution

The fourth proportional to 547.49, 821.25 and 200.84 is: 301.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.49 : 821.25 = 200.84 : x
  2. Step 2: Convert to fraction form
    547.49/821.25 = 200.84/x
  3. Step 3: Cross multiply
    547.49x = 821.25 × 200.84
  4. Step 4: Simplify right side
    547.49x = 164,935.74
  5. Step 5: Solve for x
    x = 164,935.74/547.49
  6. Step 6: Final answer
    x = 301.26

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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.