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Finding the Fourth Proportional to 939.96, 1,409.60 and 323.48

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Solution

The fourth proportional to 939.96, 1,409.60 and 323.48 is: 485.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.96 : 1,409.60 = 323.48 : x
  2. Step 2: Convert to fraction form
    939.96/1,409.60 = 323.48/x
  3. Step 3: Cross multiply
    939.96x = 1,409.60 × 323.48
  4. Step 4: Simplify right side
    939.96x = 455,977.41
  5. Step 5: Solve for x
    x = 455,977.41/939.96
  6. Step 6: Final answer
    x = 485.10

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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.