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Finding the Fourth Proportional to 409.49, 564.89 and 269.46

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Solution

The fourth proportional to 409.49, 564.89 and 269.46 is: 371.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.49 : 564.89 = 269.46 : x
  2. Step 2: Convert to fraction form
    409.49/564.89 = 269.46/x
  3. Step 3: Cross multiply
    409.49x = 564.89 × 269.46
  4. Step 4: Simplify right side
    409.49x = 152,215.26
  5. Step 5: Solve for x
    x = 152,215.26/409.49
  6. Step 6: Final answer
    x = 371.72

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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.