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Finding the Fourth Proportional to 331.35, 455.99 and 294.09

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Solution

The fourth proportional to 331.35, 455.99 and 294.09 is: 404.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.35 : 455.99 = 294.09 : x
  2. Step 2: Convert to fraction form
    331.35/455.99 = 294.09/x
  3. Step 3: Cross multiply
    331.35x = 455.99 × 294.09
  4. Step 4: Simplify right side
    331.35x = 134,100.63
  5. Step 5: Solve for x
    x = 134,100.63/331.35
  6. Step 6: Final answer
    x = 404.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.