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Finding the Fourth Proportional to 921.64, 1,382.27 and 272.23

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Solution

The fourth proportional to 921.64, 1,382.27 and 272.23 is: 408.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.64 : 1,382.27 = 272.23 : x
  2. Step 2: Convert to fraction form
    921.64/1,382.27 = 272.23/x
  3. Step 3: Cross multiply
    921.64x = 1,382.27 × 272.23
  4. Step 4: Simplify right side
    921.64x = 376,289.13
  5. Step 5: Solve for x
    x = 376,289.13/921.64
  6. Step 6: Final answer
    x = 408.28

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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.