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Finding the Fourth Proportional to 408.70, 612.78 and 191.98

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Solution

The fourth proportional to 408.70, 612.78 and 191.98 is: 287.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.70 : 612.78 = 191.98 : x
  2. Step 2: Convert to fraction form
    408.70/612.78 = 191.98/x
  3. Step 3: Cross multiply
    408.70x = 612.78 × 191.98
  4. Step 4: Simplify right side
    408.70x = 117,641.50
  5. Step 5: Solve for x
    x = 117,641.50/408.70
  6. Step 6: Final answer
    x = 287.84

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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.