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Finding the Fourth Proportional to 855.91, 1,284.17 and 362.44

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Solution

The fourth proportional to 855.91, 1,284.17 and 362.44 is: 543.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.91 : 1,284.17 = 362.44 : x
  2. Step 2: Convert to fraction form
    855.91/1,284.17 = 362.44/x
  3. Step 3: Cross multiply
    855.91x = 1,284.17 × 362.44
  4. Step 4: Simplify right side
    855.91x = 465,428.15
  5. Step 5: Solve for x
    x = 465,428.15/855.91
  6. Step 6: Final answer
    x = 543.78

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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.