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Finding the Fourth Proportional to 380.27, 570.71 and 197.79

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Solution

The fourth proportional to 380.27, 570.71 and 197.79 is: 296.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.27 : 570.71 = 197.79 : x
  2. Step 2: Convert to fraction form
    380.27/570.71 = 197.79/x
  3. Step 3: Cross multiply
    380.27x = 570.71 × 197.79
  4. Step 4: Simplify right side
    380.27x = 112,879.09
  5. Step 5: Solve for x
    x = 112,879.09/380.27
  6. Step 6: Final answer
    x = 296.84

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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.