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Finding the Fourth Proportional to 331.31, 494.45 and 309.31

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Solution

The fourth proportional to 331.31, 494.45 and 309.31 is: 461.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.31 : 494.45 = 309.31 : x
  2. Step 2: Convert to fraction form
    331.31/494.45 = 309.31/x
  3. Step 3: Cross multiply
    331.31x = 494.45 × 309.31
  4. Step 4: Simplify right side
    331.31x = 152,936.71
  5. Step 5: Solve for x
    x = 152,936.71/331.31
  6. Step 6: Final answer
    x = 461.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.