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Finding the Fourth Proportional to 409.19, 564.75 and 269.30

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Solution

The fourth proportional to 409.19, 564.75 and 269.30 is: 371.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.19 : 564.75 = 269.30 : x
  2. Step 2: Convert to fraction form
    409.19/564.75 = 269.30/x
  3. Step 3: Cross multiply
    409.19x = 564.75 × 269.30
  4. Step 4: Simplify right side
    409.19x = 152,087.18
  5. Step 5: Solve for x
    x = 152,087.18/409.19
  6. Step 6: Final answer
    x = 371.68

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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.