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Finding the Fourth Proportional to 409.58, 565.23 and 223.09

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Solution

The fourth proportional to 409.58, 565.23 and 223.09 is: 307.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.58 : 565.23 = 223.09 : x
  2. Step 2: Convert to fraction form
    409.58/565.23 = 223.09/x
  3. Step 3: Cross multiply
    409.58x = 565.23 × 223.09
  4. Step 4: Simplify right side
    409.58x = 126,094.33
  5. Step 5: Solve for x
    x = 126,094.33/409.58
  6. Step 6: Final answer
    x = 307.86

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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.