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Finding the Fourth Proportional to 617.27, 926.03 and 206.37

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Solution

The fourth proportional to 617.27, 926.03 and 206.37 is: 309.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.27 : 926.03 = 206.37 : x
  2. Step 2: Convert to fraction form
    617.27/926.03 = 206.37/x
  3. Step 3: Cross multiply
    617.27x = 926.03 × 206.37
  4. Step 4: Simplify right side
    617.27x = 191,105.33
  5. Step 5: Solve for x
    x = 191,105.33/617.27
  6. Step 6: Final answer
    x = 309.60

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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.