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Finding the Fourth Proportional to 389.28, 584.08 and 197.12

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Solution

The fourth proportional to 389.28, 584.08 and 197.12 is: 295.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.28 : 584.08 = 197.12 : x
  2. Step 2: Convert to fraction form
    389.28/584.08 = 197.12/x
  3. Step 3: Cross multiply
    389.28x = 584.08 × 197.12
  4. Step 4: Simplify right side
    389.28x = 115,133.85
  5. Step 5: Solve for x
    x = 115,133.85/389.28
  6. Step 6: Final answer
    x = 295.76

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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.