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Finding the Fourth Proportional to 409.22, 564.71 and 222.69

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Solution

The fourth proportional to 409.22, 564.71 and 222.69 is: 307.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.22 : 564.71 = 222.69 : x
  2. Step 2: Convert to fraction form
    409.22/564.71 = 222.69/x
  3. Step 3: Cross multiply
    409.22x = 564.71 × 222.69
  4. Step 4: Simplify right side
    409.22x = 125,754.16
  5. Step 5: Solve for x
    x = 125,754.16/409.22
  6. Step 6: Final answer
    x = 307.31

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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.