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Finding the Fourth Proportional to 331.07, 496.27 and 215.75

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Solution

The fourth proportional to 331.07, 496.27 and 215.75 is: 323.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.07 : 496.27 = 215.75 : x
  2. Step 2: Convert to fraction form
    331.07/496.27 = 215.75/x
  3. Step 3: Cross multiply
    331.07x = 496.27 × 215.75
  4. Step 4: Simplify right side
    331.07x = 107,066.69
  5. Step 5: Solve for x
    x = 107,066.69/331.07
  6. Step 6: Final answer
    x = 323.40

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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.