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Finding the Fourth Proportional to 921.67, 1,382.73 and 305.41

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Solution

The fourth proportional to 921.67, 1,382.73 and 305.41 is: 458.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.67 : 1,382.73 = 305.41 : x
  2. Step 2: Convert to fraction form
    921.67/1,382.73 = 305.41/x
  3. Step 3: Cross multiply
    921.67x = 1,382.73 × 305.41
  4. Step 4: Simplify right side
    921.67x = 422,299.57
  5. Step 5: Solve for x
    x = 422,299.57/921.67
  6. Step 6: Final answer
    x = 458.19

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Why These Related Problems?

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