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Finding the Fourth Proportional to 859.87, 1,289.34 and 311.90

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Solution

The fourth proportional to 859.87, 1,289.34 and 311.90 is: 467.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.87 : 1,289.34 = 311.90 : x
  2. Step 2: Convert to fraction form
    859.87/1,289.34 = 311.90/x
  3. Step 3: Cross multiply
    859.87x = 1,289.34 × 311.90
  4. Step 4: Simplify right side
    859.87x = 402,145.15
  5. Step 5: Solve for x
    x = 402,145.15/859.87
  6. Step 6: Final answer
    x = 467.68

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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.