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Finding the Fourth Proportional to 855.54, 1,283.42 and 307.78

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Solution

The fourth proportional to 855.54, 1,283.42 and 307.78 is: 461.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.54 : 1,283.42 = 307.78 : x
  2. Step 2: Convert to fraction form
    855.54/1,283.42 = 307.78/x
  3. Step 3: Cross multiply
    855.54x = 1,283.42 × 307.78
  4. Step 4: Simplify right side
    855.54x = 395,011.01
  5. Step 5: Solve for x
    x = 395,011.01/855.54
  6. Step 6: Final answer
    x = 461.71

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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.