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Finding the Fourth Proportional to 617.87, 926.78 and 206.97

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Solution

The fourth proportional to 617.87, 926.78 and 206.97 is: 310.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.87 : 926.78 = 206.97 : x
  2. Step 2: Convert to fraction form
    617.87/926.78 = 206.97/x
  3. Step 3: Cross multiply
    617.87x = 926.78 × 206.97
  4. Step 4: Simplify right side
    617.87x = 191,814.62
  5. Step 5: Solve for x
    x = 191,814.62/617.87
  6. Step 6: Final answer
    x = 310.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.