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Finding the Fourth Proportional to 552.90, 829.74 and 408.96

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Solution

The fourth proportional to 552.90, 829.74 and 408.96 is: 613.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.90 : 829.74 = 408.96 : x
  2. Step 2: Convert to fraction form
    552.90/829.74 = 408.96/x
  3. Step 3: Cross multiply
    552.90x = 829.74 × 408.96
  4. Step 4: Simplify right side
    552.90x = 339,330.47
  5. Step 5: Solve for x
    x = 339,330.47/552.90
  6. Step 6: Final answer
    x = 613.73

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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.