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Finding the Fourth Proportional to 409.23, 564.69 and 243.42

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Solution

The fourth proportional to 409.23, 564.69 and 243.42 is: 335.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.23 : 564.69 = 243.42 : x
  2. Step 2: Convert to fraction form
    409.23/564.69 = 243.42/x
  3. Step 3: Cross multiply
    409.23x = 564.69 × 243.42
  4. Step 4: Simplify right side
    409.23x = 137,456.84
  5. Step 5: Solve for x
    x = 137,456.84/409.23
  6. Step 6: Final answer
    x = 335.89

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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.