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Finding the Fourth Proportional to 552.20, 826.34 and 465.62

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Solution

The fourth proportional to 552.20, 826.34 and 465.62 is: 696.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.20 : 826.34 = 465.62 : x
  2. Step 2: Convert to fraction form
    552.20/826.34 = 465.62/x
  3. Step 3: Cross multiply
    552.20x = 826.34 × 465.62
  4. Step 4: Simplify right side
    552.20x = 384,760.43
  5. Step 5: Solve for x
    x = 384,760.43/552.20
  6. Step 6: Final answer
    x = 696.78

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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.