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Finding the Fourth Proportional to 408.86, 564.53 and 261.57

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Solution

The fourth proportional to 408.86, 564.53 and 261.57 is: 361.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.86 : 564.53 = 261.57 : x
  2. Step 2: Convert to fraction form
    408.86/564.53 = 261.57/x
  3. Step 3: Cross multiply
    408.86x = 564.53 × 261.57
  4. Step 4: Simplify right side
    408.86x = 147,662.80
  5. Step 5: Solve for x
    x = 147,662.80/408.86
  6. Step 6: Final answer
    x = 361.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.