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Finding the Fourth Proportional to 855.75, 1,282.80 and 336.09

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Solution

The fourth proportional to 855.75, 1,282.80 and 336.09 is: 503.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.75 : 1,282.80 = 336.09 : x
  2. Step 2: Convert to fraction form
    855.75/1,282.80 = 336.09/x
  3. Step 3: Cross multiply
    855.75x = 1,282.80 × 336.09
  4. Step 4: Simplify right side
    855.75x = 431,136.25
  5. Step 5: Solve for x
    x = 431,136.25/855.75
  6. Step 6: Final answer
    x = 503.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.