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Finding the Fourth Proportional to 921.44, 1,382.04 and 305.12

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Solution

The fourth proportional to 921.44, 1,382.04 and 305.12 is: 457.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.44 : 1,382.04 = 305.12 : x
  2. Step 2: Convert to fraction form
    921.44/1,382.04 = 305.12/x
  3. Step 3: Cross multiply
    921.44x = 1,382.04 × 305.12
  4. Step 4: Simplify right side
    921.44x = 421,688.04
  5. Step 5: Solve for x
    x = 421,688.04/921.44
  6. Step 6: Final answer
    x = 457.64

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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.