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Finding the Fourth Proportional to 553.05, 828.45 and 443.61

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Solution

The fourth proportional to 553.05, 828.45 and 443.61 is: 664.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.05 : 828.45 = 443.61 : x
  2. Step 2: Convert to fraction form
    553.05/828.45 = 443.61/x
  3. Step 3: Cross multiply
    553.05x = 828.45 × 443.61
  4. Step 4: Simplify right side
    553.05x = 367,508.70
  5. Step 5: Solve for x
    x = 367,508.70/553.05
  6. Step 6: Final answer
    x = 664.51

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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.