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Finding the Fourth Proportional to 409.16, 564.49 and 269.36

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Solution

The fourth proportional to 409.16, 564.49 and 269.36 is: 371.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.16 : 564.49 = 269.36 : x
  2. Step 2: Convert to fraction form
    409.16/564.49 = 269.36/x
  3. Step 3: Cross multiply
    409.16x = 564.49 × 269.36
  4. Step 4: Simplify right side
    409.16x = 152,050.66
  5. Step 5: Solve for x
    x = 152,050.66/409.16
  6. Step 6: Final answer
    x = 371.61

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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.