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Finding the Fourth Proportional to 409.04, 564.24 and 269.12

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Solution

The fourth proportional to 409.04, 564.24 and 269.12 is: 371.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.04 : 564.24 = 269.12 : x
  2. Step 2: Convert to fraction form
    409.04/564.24 = 269.12/x
  3. Step 3: Cross multiply
    409.04x = 564.24 × 269.12
  4. Step 4: Simplify right side
    409.04x = 151,848.27
  5. Step 5: Solve for x
    x = 151,848.27/409.04
  6. Step 6: Final answer
    x = 371.23

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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.