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Finding the Fourth Proportional to 409.06, 564.29 and 261.54

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Solution

The fourth proportional to 409.06, 564.29 and 261.54 is: 360.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.06 : 564.29 = 261.54 : x
  2. Step 2: Convert to fraction form
    409.06/564.29 = 261.54/x
  3. Step 3: Cross multiply
    409.06x = 564.29 × 261.54
  4. Step 4: Simplify right side
    409.06x = 147,584.41
  5. Step 5: Solve for x
    x = 147,584.41/409.06
  6. Step 6: Final answer
    x = 360.79

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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.