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Finding the Fourth Proportional to 403.83, 605.36 and 220.97

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Solution

The fourth proportional to 403.83, 605.36 and 220.97 is: 331.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.83 : 605.36 = 220.97 : x
  2. Step 2: Convert to fraction form
    403.83/605.36 = 220.97/x
  3. Step 3: Cross multiply
    403.83x = 605.36 × 220.97
  4. Step 4: Simplify right side
    403.83x = 133,768.47
  5. Step 5: Solve for x
    x = 133,768.47/403.83
  6. Step 6: Final answer
    x = 331.25

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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.