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Finding the Fourth Proportional to 961.92, 1,443.24 and 385.20

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Solution

The fourth proportional to 961.92, 1,443.24 and 385.20 is: 577.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.92 : 1,443.24 = 385.20 : x
  2. Step 2: Convert to fraction form
    961.92/1,443.24 = 385.20/x
  3. Step 3: Cross multiply
    961.92x = 1,443.24 × 385.20
  4. Step 4: Simplify right side
    961.92x = 555,936.05
  5. Step 5: Solve for x
    x = 555,936.05/961.92
  6. Step 6: Final answer
    x = 577.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.