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Finding the Fourth Proportional to 859.46, 1,289.16 and 243.14

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Solution

The fourth proportional to 859.46, 1,289.16 and 243.14 is: 364.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.46 : 1,289.16 = 243.14 : x
  2. Step 2: Convert to fraction form
    859.46/1,289.16 = 243.14/x
  3. Step 3: Cross multiply
    859.46x = 1,289.16 × 243.14
  4. Step 4: Simplify right side
    859.46x = 313,449.59
  5. Step 5: Solve for x
    x = 313,449.59/859.46
  6. Step 6: Final answer
    x = 364.71

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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.