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Finding the Fourth Proportional to 551.37, 826.96 and 204.87

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Solution

The fourth proportional to 551.37, 826.96 and 204.87 is: 307.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.37 : 826.96 = 204.87 : x
  2. Step 2: Convert to fraction form
    551.37/826.96 = 204.87/x
  3. Step 3: Cross multiply
    551.37x = 826.96 × 204.87
  4. Step 4: Simplify right side
    551.37x = 169,414.14
  5. Step 5: Solve for x
    x = 169,414.14/551.37
  6. Step 6: Final answer
    x = 307.26

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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.