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Finding the Fourth Proportional to 520.22, 717.61 and 343.29

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Solution

The fourth proportional to 520.22, 717.61 and 343.29 is: 473.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.22 : 717.61 = 343.29 : x
  2. Step 2: Convert to fraction form
    520.22/717.61 = 343.29/x
  3. Step 3: Cross multiply
    520.22x = 717.61 × 343.29
  4. Step 4: Simplify right side
    520.22x = 246,346.78
  5. Step 5: Solve for x
    x = 246,346.78/520.22
  6. Step 6: Final answer
    x = 473.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.