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Finding the Fourth Proportional to 551.17, 826 and 204.17

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Solution

The fourth proportional to 551.17, 826 and 204.17 is: 305.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.17 : 826 = 204.17 : x
  2. Step 2: Convert to fraction form
    551.17/826 = 204.17/x
  3. Step 3: Cross multiply
    551.17x = 826 × 204.17
  4. Step 4: Simplify right side
    551.17x = 168,640.29
  5. Step 5: Solve for x
    x = 168,640.29/551.17
  6. Step 6: Final answer
    x = 305.97

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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.