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Finding the Fourth Proportional to 409.23, 564.73 and 222.71

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Solution

The fourth proportional to 409.23, 564.73 and 222.71 is: 307.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.23 : 564.73 = 222.71 : x
  2. Step 2: Convert to fraction form
    409.23/564.73 = 222.71/x
  3. Step 3: Cross multiply
    409.23x = 564.73 × 222.71
  4. Step 4: Simplify right side
    409.23x = 125,771.32
  5. Step 5: Solve for x
    x = 125,771.32/409.23
  6. Step 6: Final answer
    x = 307.34

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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.