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Finding the Fourth Proportional to 921.32, 1,382.11 and 336.25

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Solution

The fourth proportional to 921.32, 1,382.11 and 336.25 is: 504.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.32 : 1,382.11 = 336.25 : x
  2. Step 2: Convert to fraction form
    921.32/1,382.11 = 336.25/x
  3. Step 3: Cross multiply
    921.32x = 1,382.11 × 336.25
  4. Step 4: Simplify right side
    921.32x = 464,737.27
  5. Step 5: Solve for x
    x = 464,737.27/921.32
  6. Step 6: Final answer
    x = 504.42

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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.