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Finding the Fourth Proportional to 960.80, 1,440.92 and 311.45

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Solution

The fourth proportional to 960.80, 1,440.92 and 311.45 is: 467.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.80 : 1,440.92 = 311.45 : x
  2. Step 2: Convert to fraction form
    960.80/1,440.92 = 311.45/x
  3. Step 3: Cross multiply
    960.80x = 1,440.92 × 311.45
  4. Step 4: Simplify right side
    960.80x = 448,768.11
  5. Step 5: Solve for x
    x = 448,768.11/960.80
  6. Step 6: Final answer
    x = 467.08

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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.