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Finding the Fourth Proportional to 921.98, 1,382.92 and 336.96

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Solution

The fourth proportional to 921.98, 1,382.92 and 336.96 is: 505.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.98 : 1,382.92 = 336.96 : x
  2. Step 2: Convert to fraction form
    921.98/1,382.92 = 336.96/x
  3. Step 3: Cross multiply
    921.98x = 1,382.92 × 336.96
  4. Step 4: Simplify right side
    921.98x = 465,989.78
  5. Step 5: Solve for x
    x = 465,989.78/921.98
  6. Step 6: Final answer
    x = 505.42

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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.