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Finding the Fourth Proportional to 855.93, 1,283.97 and 239.64

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Solution

The fourth proportional to 855.93, 1,283.97 and 239.64 is: 359.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.93 : 1,283.97 = 239.64 : x
  2. Step 2: Convert to fraction form
    855.93/1,283.97 = 239.64/x
  3. Step 3: Cross multiply
    855.93x = 1,283.97 × 239.64
  4. Step 4: Simplify right side
    855.93x = 307,690.57
  5. Step 5: Solve for x
    x = 307,690.57/855.93
  6. Step 6: Final answer
    x = 359.48

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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.