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Finding the Fourth Proportional to 409.73, 565.42 and 223.22

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Solution

The fourth proportional to 409.73, 565.42 and 223.22 is: 308.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.73 : 565.42 = 223.22 : x
  2. Step 2: Convert to fraction form
    409.73/565.42 = 223.22/x
  3. Step 3: Cross multiply
    409.73x = 565.42 × 223.22
  4. Step 4: Simplify right side
    409.73x = 126,209.11
  5. Step 5: Solve for x
    x = 126,209.11/409.73
  6. Step 6: Final answer
    x = 308.03

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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.