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Finding the Fourth Proportional to 908.42, 1,361.93 and 323.06

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Solution

The fourth proportional to 908.42, 1,361.93 and 323.06 is: 484.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.42 : 1,361.93 = 323.06 : x
  2. Step 2: Convert to fraction form
    908.42/1,361.93 = 323.06/x
  3. Step 3: Cross multiply
    908.42x = 1,361.93 × 323.06
  4. Step 4: Simplify right side
    908.42x = 439,976.68
  5. Step 5: Solve for x
    x = 439,976.68/908.42
  6. Step 6: Final answer
    x = 484.33

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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.