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Finding the Fourth Proportional to 311.82, 465.44 and 289.29

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Solution

The fourth proportional to 311.82, 465.44 and 289.29 is: 431.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.82 : 465.44 = 289.29 : x
  2. Step 2: Convert to fraction form
    311.82/465.44 = 289.29/x
  3. Step 3: Cross multiply
    311.82x = 465.44 × 289.29
  4. Step 4: Simplify right side
    311.82x = 134,647.14
  5. Step 5: Solve for x
    x = 134,647.14/311.82
  6. Step 6: Final answer
    x = 431.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.