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Finding the Fourth Proportional to 606.20, 903.22 and 541.49

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Solution

The fourth proportional to 606.20, 903.22 and 541.49 is: 806.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.20 : 903.22 = 541.49 : x
  2. Step 2: Convert to fraction form
    606.20/903.22 = 541.49/x
  3. Step 3: Cross multiply
    606.20x = 903.22 × 541.49
  4. Step 4: Simplify right side
    606.20x = 489,078.73
  5. Step 5: Solve for x
    x = 489,078.73/606.20
  6. Step 6: Final answer
    x = 806.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.