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Finding the Fourth Proportional to 961.16, 1,441.92 and 311.96

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Solution

The fourth proportional to 961.16, 1,441.92 and 311.96 is: 468.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.16 : 1,441.92 = 311.96 : x
  2. Step 2: Convert to fraction form
    961.16/1,441.92 = 311.96/x
  3. Step 3: Cross multiply
    961.16x = 1,441.92 × 311.96
  4. Step 4: Simplify right side
    961.16x = 449,821.36
  5. Step 5: Solve for x
    x = 449,821.36/961.16
  6. Step 6: Final answer
    x = 468.00

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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.