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Finding the Fourth Proportional to 406.22, 606.39 and 369.77

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Solution

The fourth proportional to 406.22, 606.39 and 369.77 is: 551.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.22 : 606.39 = 369.77 : x
  2. Step 2: Convert to fraction form
    406.22/606.39 = 369.77/x
  3. Step 3: Cross multiply
    406.22x = 606.39 × 369.77
  4. Step 4: Simplify right side
    406.22x = 224,220.41
  5. Step 5: Solve for x
    x = 224,220.41/406.22
  6. Step 6: Final answer
    x = 551.97

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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.