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Finding the Fourth Proportional to 478.29, 717.71 and 204.41

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Solution

The fourth proportional to 478.29, 717.71 and 204.41 is: 306.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.29 : 717.71 = 204.41 : x
  2. Step 2: Convert to fraction form
    478.29/717.71 = 204.41/x
  3. Step 3: Cross multiply
    478.29x = 717.71 × 204.41
  4. Step 4: Simplify right side
    478.29x = 146,707.10
  5. Step 5: Solve for x
    x = 146,707.10/478.29
  6. Step 6: Final answer
    x = 306.73

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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.