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Finding the Fourth Proportional to 389.94, 584.37 and 197.70

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Solution

The fourth proportional to 389.94, 584.37 and 197.70 is: 296.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.94 : 584.37 = 197.70 : x
  2. Step 2: Convert to fraction form
    389.94/584.37 = 197.70/x
  3. Step 3: Cross multiply
    389.94x = 584.37 × 197.70
  4. Step 4: Simplify right side
    389.94x = 115,529.95
  5. Step 5: Solve for x
    x = 115,529.95/389.94
  6. Step 6: Final answer
    x = 296.28

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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.