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Finding the Fourth Proportional to 960.77, 1,441 and 311.42

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Solution

The fourth proportional to 960.77, 1,441 and 311.42 is: 467.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.77 : 1,441 = 311.42 : x
  2. Step 2: Convert to fraction form
    960.77/1,441 = 311.42/x
  3. Step 3: Cross multiply
    960.77x = 1,441 × 311.42
  4. Step 4: Simplify right side
    960.77x = 448,756.22
  5. Step 5: Solve for x
    x = 448,756.22/960.77
  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.