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Finding the Fourth Proportional to 551.44, 826.96 and 204.68

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Solution

The fourth proportional to 551.44, 826.96 and 204.68 is: 306.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.44 : 826.96 = 204.68 : x
  2. Step 2: Convert to fraction form
    551.44/826.96 = 204.68/x
  3. Step 3: Cross multiply
    551.44x = 826.96 × 204.68
  4. Step 4: Simplify right side
    551.44x = 169,262.17
  5. Step 5: Solve for x
    x = 169,262.17/551.44
  6. Step 6: Final answer
    x = 306.95

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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.