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Finding the Fourth Proportional to 855.38, 1,283.09 and 342.38

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Solution

The fourth proportional to 855.38, 1,283.09 and 342.38 is: 513.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.38 : 1,283.09 = 342.38 : x
  2. Step 2: Convert to fraction form
    855.38/1,283.09 = 342.38/x
  3. Step 3: Cross multiply
    855.38x = 1,283.09 × 342.38
  4. Step 4: Simplify right side
    855.38x = 439,304.35
  5. Step 5: Solve for x
    x = 439,304.35/855.38
  6. Step 6: Final answer
    x = 513.58

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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.