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Finding the Fourth Proportional to 409.24, 564.76 and 222.74

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Solution

The fourth proportional to 409.24, 564.76 and 222.74 is: 307.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.24 : 564.76 = 222.74 : x
  2. Step 2: Convert to fraction form
    409.24/564.76 = 222.74/x
  3. Step 3: Cross multiply
    409.24x = 564.76 × 222.74
  4. Step 4: Simplify right side
    409.24x = 125,791.26
  5. Step 5: Solve for x
    x = 125,791.26/409.24
  6. Step 6: Final answer
    x = 307.38

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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.