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Finding the Fourth Proportional to 921.71, 1,382.28 and 263.64

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Solution

The fourth proportional to 921.71, 1,382.28 and 263.64 is: 395.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.71 : 1,382.28 = 263.64 : x
  2. Step 2: Convert to fraction form
    921.71/1,382.28 = 263.64/x
  3. Step 3: Cross multiply
    921.71x = 1,382.28 × 263.64
  4. Step 4: Simplify right side
    921.71x = 364,424.30
  5. Step 5: Solve for x
    x = 364,424.30/921.71
  6. Step 6: Final answer
    x = 395.38

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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.