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Finding the Fourth Proportional to 620.73, 930.38 and 311.90

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Solution

The fourth proportional to 620.73, 930.38 and 311.90 is: 467.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.73 : 930.38 = 311.90 : x
  2. Step 2: Convert to fraction form
    620.73/930.38 = 311.90/x
  3. Step 3: Cross multiply
    620.73x = 930.38 × 311.90
  4. Step 4: Simplify right side
    620.73x = 290,179.31
  5. Step 5: Solve for x
    x = 290,179.31/620.73
  6. Step 6: Final answer
    x = 467.48

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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.