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Finding the Fourth Proportional to 408.96, 564.08 and 261.53

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Solution

The fourth proportional to 408.96, 564.08 and 261.53 is: 360.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.96 : 564.08 = 261.53 : x
  2. Step 2: Convert to fraction form
    408.96/564.08 = 261.53/x
  3. Step 3: Cross multiply
    408.96x = 564.08 × 261.53
  4. Step 4: Simplify right side
    408.96x = 147,523.84
  5. Step 5: Solve for x
    x = 147,523.84/408.96
  6. Step 6: Final answer
    x = 360.73

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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.