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Finding the Fourth Proportional to 409.71, 565.38 and 223.20

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Solution

The fourth proportional to 409.71, 565.38 and 223.20 is: 308.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.71 : 565.38 = 223.20 : x
  2. Step 2: Convert to fraction form
    409.71/565.38 = 223.20/x
  3. Step 3: Cross multiply
    409.71x = 565.38 × 223.20
  4. Step 4: Simplify right side
    409.71x = 126,192.82
  5. Step 5: Solve for x
    x = 126,192.82/409.71
  6. Step 6: Final answer
    x = 308.01

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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.