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Finding the Fourth Proportional to 855.09, 1,282.68 and 307.62

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Solution

The fourth proportional to 855.09, 1,282.68 and 307.62 is: 461.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.09 : 1,282.68 = 307.62 : x
  2. Step 2: Convert to fraction form
    855.09/1,282.68 = 307.62/x
  3. Step 3: Cross multiply
    855.09x = 1,282.68 × 307.62
  4. Step 4: Simplify right side
    855.09x = 394,578.02
  5. Step 5: Solve for x
    x = 394,578.02/855.09
  6. Step 6: Final answer
    x = 461.45

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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.