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Finding the Fourth Proportional to 553.73, 830.07 and 206.97

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Solution

The fourth proportional to 553.73, 830.07 and 206.97 is: 310.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.73 : 830.07 = 206.97 : x
  2. Step 2: Convert to fraction form
    553.73/830.07 = 206.97/x
  3. Step 3: Cross multiply
    553.73x = 830.07 × 206.97
  4. Step 4: Simplify right side
    553.73x = 171,799.59
  5. Step 5: Solve for x
    x = 171,799.59/553.73
  6. Step 6: Final answer
    x = 310.26

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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.