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Finding the Fourth Proportional to 859.27, 1,288.59 and 311.32

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Solution

The fourth proportional to 859.27, 1,288.59 and 311.32 is: 466.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.27 : 1,288.59 = 311.32 : x
  2. Step 2: Convert to fraction form
    859.27/1,288.59 = 311.32/x
  3. Step 3: Cross multiply
    859.27x = 1,288.59 × 311.32
  4. Step 4: Simplify right side
    859.27x = 401,163.84
  5. Step 5: Solve for x
    x = 401,163.84/859.27
  6. Step 6: Final answer
    x = 466.87

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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.