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Finding the Fourth Proportional to 617.27, 925.70 and 206.31

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Solution

The fourth proportional to 617.27, 925.70 and 206.31 is: 309.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.27 : 925.70 = 206.31 : x
  2. Step 2: Convert to fraction form
    617.27/925.70 = 206.31/x
  3. Step 3: Cross multiply
    617.27x = 925.70 × 206.31
  4. Step 4: Simplify right side
    617.27x = 190,980.14
  5. Step 5: Solve for x
    x = 190,980.14/617.27
  6. Step 6: Final answer
    x = 309.39

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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.