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Finding the Fourth Proportional to 408.93, 564.33 and 222.42

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Solution

The fourth proportional to 408.93, 564.33 and 222.42 is: 306.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.93 : 564.33 = 222.42 : x
  2. Step 2: Convert to fraction form
    408.93/564.33 = 222.42/x
  3. Step 3: Cross multiply
    408.93x = 564.33 × 222.42
  4. Step 4: Simplify right side
    408.93x = 125,519.51
  5. Step 5: Solve for x
    x = 125,519.51/408.93
  6. Step 6: Final answer
    x = 306.95

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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.