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Finding the Fourth Proportional to 380.86, 570.49 and 197.70

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Solution

The fourth proportional to 380.86, 570.49 and 197.70 is: 296.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.86 : 570.49 = 197.70 : x
  2. Step 2: Convert to fraction form
    380.86/570.49 = 197.70/x
  3. Step 3: Cross multiply
    380.86x = 570.49 × 197.70
  4. Step 4: Simplify right side
    380.86x = 112,785.87
  5. Step 5: Solve for x
    x = 112,785.87/380.86
  6. Step 6: Final answer
    x = 296.13

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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.