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Finding the Fourth Proportional to 922.14, 1,382.91 and 305.69

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Solution

The fourth proportional to 922.14, 1,382.91 and 305.69 is: 458.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.14 : 1,382.91 = 305.69 : x
  2. Step 2: Convert to fraction form
    922.14/1,382.91 = 305.69/x
  3. Step 3: Cross multiply
    922.14x = 1,382.91 × 305.69
  4. Step 4: Simplify right side
    922.14x = 422,734.84
  5. Step 5: Solve for x
    x = 422,734.84/922.14
  6. Step 6: Final answer
    x = 458.43

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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.