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Finding the Fourth Proportional to 552.90, 828.29 and 443.46

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Solution

The fourth proportional to 552.90, 828.29 and 443.46 is: 664.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.90 : 828.29 = 443.46 : x
  2. Step 2: Convert to fraction form
    552.90/828.29 = 443.46/x
  3. Step 3: Cross multiply
    552.90x = 828.29 × 443.46
  4. Step 4: Simplify right side
    552.90x = 367,313.48
  5. Step 5: Solve for x
    x = 367,313.48/552.90
  6. Step 6: Final answer
    x = 664.34

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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.