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Finding the Fourth Proportional to 857.26, 1,285.94 and 369.98

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Solution

The fourth proportional to 857.26, 1,285.94 and 369.98 is: 554.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.26 : 1,285.94 = 369.98 : x
  2. Step 2: Convert to fraction form
    857.26/1,285.94 = 369.98/x
  3. Step 3: Cross multiply
    857.26x = 1,285.94 × 369.98
  4. Step 4: Simplify right side
    857.26x = 475,772.08
  5. Step 5: Solve for x
    x = 475,772.08/857.26
  6. Step 6: Final answer
    x = 554.99

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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.