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Finding the Fourth Proportional to 415.60, 622.65 and 198.70

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Solution

The fourth proportional to 415.60, 622.65 and 198.70 is: 297.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.60 : 622.65 = 198.70 : x
  2. Step 2: Convert to fraction form
    415.60/622.65 = 198.70/x
  3. Step 3: Cross multiply
    415.60x = 622.65 × 198.70
  4. Step 4: Simplify right side
    415.60x = 123,720.56
  5. Step 5: Solve for x
    x = 123,720.56/415.60
  6. Step 6: Final answer
    x = 297.69

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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.