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Finding the Fourth Proportional to 331.08, 496.17 and 258.96

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Solution

The fourth proportional to 331.08, 496.17 and 258.96 is: 388.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.08 : 496.17 = 258.96 : x
  2. Step 2: Convert to fraction form
    331.08/496.17 = 258.96/x
  3. Step 3: Cross multiply
    331.08x = 496.17 × 258.96
  4. Step 4: Simplify right side
    331.08x = 128,488.18
  5. Step 5: Solve for x
    x = 128,488.18/331.08
  6. Step 6: Final answer
    x = 388.09

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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.