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Finding the Fourth Proportional to 380.83, 571.06 and 198.04

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Solution

The fourth proportional to 380.83, 571.06 and 198.04 is: 296.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.83 : 571.06 = 198.04 : x
  2. Step 2: Convert to fraction form
    380.83/571.06 = 198.04/x
  3. Step 3: Cross multiply
    380.83x = 571.06 × 198.04
  4. Step 4: Simplify right side
    380.83x = 113,092.72
  5. Step 5: Solve for x
    x = 113,092.72/380.83
  6. Step 6: Final answer
    x = 296.96

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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.