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Finding the Fourth Proportional to 409.76, 565.49 and 223.27

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Solution

The fourth proportional to 409.76, 565.49 and 223.27 is: 308.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.76 : 565.49 = 223.27 : x
  2. Step 2: Convert to fraction form
    409.76/565.49 = 223.27/x
  3. Step 3: Cross multiply
    409.76x = 565.49 × 223.27
  4. Step 4: Simplify right side
    409.76x = 126,256.95
  5. Step 5: Solve for x
    x = 126,256.95/409.76
  6. Step 6: Final answer
    x = 308.12

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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.