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Finding the Fourth Proportional to 552.41, 828.96 and 309.09

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Solution

The fourth proportional to 552.41, 828.96 and 309.09 is: 463.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.41 : 828.96 = 309.09 : x
  2. Step 2: Convert to fraction form
    552.41/828.96 = 309.09/x
  3. Step 3: Cross multiply
    552.41x = 828.96 × 309.09
  4. Step 4: Simplify right side
    552.41x = 256,223.25
  5. Step 5: Solve for x
    x = 256,223.25/552.41
  6. Step 6: Final answer
    x = 463.83

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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.