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Finding the Fourth Proportional to 553.23, 829.27 and 206.43

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Solution

The fourth proportional to 553.23, 829.27 and 206.43 is: 309.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.23 : 829.27 = 206.43 : x
  2. Step 2: Convert to fraction form
    553.23/829.27 = 206.43/x
  3. Step 3: Cross multiply
    553.23x = 829.27 × 206.43
  4. Step 4: Simplify right side
    553.23x = 171,183.74
  5. Step 5: Solve for x
    x = 171,183.74/553.23
  6. Step 6: Final answer
    x = 309.42

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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.