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Finding the Fourth Proportional to 478.67, 717.41 and 204.44

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Solution

The fourth proportional to 478.67, 717.41 and 204.44 is: 306.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.67 : 717.41 = 204.44 : x
  2. Step 2: Convert to fraction form
    478.67/717.41 = 204.44/x
  3. Step 3: Cross multiply
    478.67x = 717.41 × 204.44
  4. Step 4: Simplify right side
    478.67x = 146,669.09
  5. Step 5: Solve for x
    x = 146,669.09/478.67
  6. Step 6: Final answer
    x = 306.41

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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.