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Finding the Fourth Proportional to 295.91, 444.17 and 204.29

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Solution

The fourth proportional to 295.91, 444.17 and 204.29 is: 306.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.91 : 444.17 = 204.29 : x
  2. Step 2: Convert to fraction form
    295.91/444.17 = 204.29/x
  3. Step 3: Cross multiply
    295.91x = 444.17 × 204.29
  4. Step 4: Simplify right side
    295.91x = 90,738.47
  5. Step 5: Solve for x
    x = 90,738.47/295.91
  6. Step 6: Final answer
    x = 306.64

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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.