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Finding the Fourth Proportional to 410.15, 615.17 and 204.68

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Solution

The fourth proportional to 410.15, 615.17 and 204.68 is: 306.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.15 : 615.17 = 204.68 : x
  2. Step 2: Convert to fraction form
    410.15/615.17 = 204.68/x
  3. Step 3: Cross multiply
    410.15x = 615.17 × 204.68
  4. Step 4: Simplify right side
    410.15x = 125,910.43
  5. Step 5: Solve for x
    x = 125,910.43/410.15
  6. Step 6: Final answer
    x = 306.99

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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.