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Finding the Fourth Proportional to 409.29, 564.73 and 243.46

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Solution

The fourth proportional to 409.29, 564.73 and 243.46 is: 335.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.29 : 564.73 = 243.46 : x
  2. Step 2: Convert to fraction form
    409.29/564.73 = 243.46/x
  3. Step 3: Cross multiply
    409.29x = 564.73 × 243.46
  4. Step 4: Simplify right side
    409.29x = 137,489.17
  5. Step 5: Solve for x
    x = 137,489.17/409.29
  6. Step 6: Final answer
    x = 335.92

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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.