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Finding the Fourth Proportional to 908.26, 1,361.42 and 360.20

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Solution

The fourth proportional to 908.26, 1,361.42 and 360.20 is: 539.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.26 : 1,361.42 = 360.20 : x
  2. Step 2: Convert to fraction form
    908.26/1,361.42 = 360.20/x
  3. Step 3: Cross multiply
    908.26x = 1,361.42 × 360.20
  4. Step 4: Simplify right side
    908.26x = 490,383.48
  5. Step 5: Solve for x
    x = 490,383.48/908.26
  6. Step 6: Final answer
    x = 539.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.