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Finding the Fourth Proportional to 859.67, 1,289.18 and 311.70

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Solution

The fourth proportional to 859.67, 1,289.18 and 311.70 is: 467.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.67 : 1,289.18 = 311.70 : x
  2. Step 2: Convert to fraction form
    859.67/1,289.18 = 311.70/x
  3. Step 3: Cross multiply
    859.67x = 1,289.18 × 311.70
  4. Step 4: Simplify right side
    859.67x = 401,835.85
  5. Step 5: Solve for x
    x = 401,835.85/859.67
  6. Step 6: Final answer
    x = 467.43

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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.