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Finding the Fourth Proportional to 859.23, 1,288.96 and 311.67

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Solution

The fourth proportional to 859.23, 1,288.96 and 311.67 is: 467.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.23 : 1,288.96 = 311.67 : x
  2. Step 2: Convert to fraction form
    859.23/1,288.96 = 311.67/x
  3. Step 3: Cross multiply
    859.23x = 1,288.96 × 311.67
  4. Step 4: Simplify right side
    859.23x = 401,729.38
  5. Step 5: Solve for x
    x = 401,729.38/859.23
  6. Step 6: Final answer
    x = 467.55

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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.