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Finding the Fourth Proportional to 409.33, 564.87 and 222.82

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Solution

The fourth proportional to 409.33, 564.87 and 222.82 is: 307.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.33 : 564.87 = 222.82 : x
  2. Step 2: Convert to fraction form
    409.33/564.87 = 222.82/x
  3. Step 3: Cross multiply
    409.33x = 564.87 × 222.82
  4. Step 4: Simplify right side
    409.33x = 125,864.33
  5. Step 5: Solve for x
    x = 125,864.33/409.33
  6. Step 6: Final answer
    x = 307.49

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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.