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Finding the Fourth Proportional to 613.72, 845.94 and 414.48

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Solution

The fourth proportional to 613.72, 845.94 and 414.48 is: 571.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.72 : 845.94 = 414.48 : x
  2. Step 2: Convert to fraction form
    613.72/845.94 = 414.48/x
  3. Step 3: Cross multiply
    613.72x = 845.94 × 414.48
  4. Step 4: Simplify right side
    613.72x = 350,627.39
  5. Step 5: Solve for x
    x = 350,627.39/613.72
  6. Step 6: Final answer
    x = 571.32

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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.