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Finding the Fourth Proportional to 921.75, 1,382.63 and 237.75

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Solution

The fourth proportional to 921.75, 1,382.63 and 237.75 is: 356.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.75 : 1,382.63 = 237.75 : x
  2. Step 2: Convert to fraction form
    921.75/1,382.63 = 237.75/x
  3. Step 3: Cross multiply
    921.75x = 1,382.63 × 237.75
  4. Step 4: Simplify right side
    921.75x = 328,719.09
  5. Step 5: Solve for x
    x = 328,719.09/921.75
  6. Step 6: Final answer
    x = 356.63

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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.