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Finding the Fourth Proportional to 553.44, 828.41 and 309.23

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Solution

The fourth proportional to 553.44, 828.41 and 309.23 is: 462.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.44 : 828.41 = 309.23 : x
  2. Step 2: Convert to fraction form
    553.44/828.41 = 309.23/x
  3. Step 3: Cross multiply
    553.44x = 828.41 × 309.23
  4. Step 4: Simplify right side
    553.44x = 256,163.54
  5. Step 5: Solve for x
    x = 256,163.54/553.44
  6. Step 6: Final answer
    x = 462.86

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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.