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Finding the Fourth Proportional to 409.56, 565.19 and 223.05

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Solution

The fourth proportional to 409.56, 565.19 and 223.05 is: 307.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.56 : 565.19 = 223.05 : x
  2. Step 2: Convert to fraction form
    409.56/565.19 = 223.05/x
  3. Step 3: Cross multiply
    409.56x = 565.19 × 223.05
  4. Step 4: Simplify right side
    409.56x = 126,065.63
  5. Step 5: Solve for x
    x = 126,065.63/409.56
  6. Step 6: Final answer
    x = 307.81

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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.