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Finding the Fourth Proportional to 859.04, 1,288.56 and 311.23

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Solution

The fourth proportional to 859.04, 1,288.56 and 311.23 is: 466.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.04 : 1,288.56 = 311.23 : x
  2. Step 2: Convert to fraction form
    859.04/1,288.56 = 311.23/x
  3. Step 3: Cross multiply
    859.04x = 1,288.56 × 311.23
  4. Step 4: Simplify right side
    859.04x = 401,033.60
  5. Step 5: Solve for x
    x = 401,033.60/859.04
  6. Step 6: Final answer
    x = 466.84

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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.