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Finding the Fourth Proportional to 855.75, 1,283.81 and 278.67

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Solution

The fourth proportional to 855.75, 1,283.81 and 278.67 is: 418.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.75 : 1,283.81 = 278.67 : x
  2. Step 2: Convert to fraction form
    855.75/1,283.81 = 278.67/x
  3. Step 3: Cross multiply
    855.75x = 1,283.81 × 278.67
  4. Step 4: Simplify right side
    855.75x = 357,757.94
  5. Step 5: Solve for x
    x = 357,757.94/855.75
  6. Step 6: Final answer
    x = 418.06

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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.