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Finding the Fourth Proportional to 409.94, 565.72 and 223.43

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Solution

The fourth proportional to 409.94, 565.72 and 223.43 is: 308.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.94 : 565.72 = 223.43 : x
  2. Step 2: Convert to fraction form
    409.94/565.72 = 223.43/x
  3. Step 3: Cross multiply
    409.94x = 565.72 × 223.43
  4. Step 4: Simplify right side
    409.94x = 126,401.36
  5. Step 5: Solve for x
    x = 126,401.36/409.94
  6. Step 6: Final answer
    x = 308.34

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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.