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Finding the Fourth Proportional to 960.67, 1,441.14 and 311.20

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Solution

The fourth proportional to 960.67, 1,441.14 and 311.20 is: 466.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.67 : 1,441.14 = 311.20 : x
  2. Step 2: Convert to fraction form
    960.67/1,441.14 = 311.20/x
  3. Step 3: Cross multiply
    960.67x = 1,441.14 × 311.20
  4. Step 4: Simplify right side
    960.67x = 448,482.77
  5. Step 5: Solve for x
    x = 448,482.77/960.67
  6. Step 6: Final answer
    x = 466.84

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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.