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Finding the Fourth Proportional to 853.82, 1,280.71 and 366.54

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Solution

The fourth proportional to 853.82, 1,280.71 and 366.54 is: 549.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.82 : 1,280.71 = 366.54 : x
  2. Step 2: Convert to fraction form
    853.82/1,280.71 = 366.54/x
  3. Step 3: Cross multiply
    853.82x = 1,280.71 × 366.54
  4. Step 4: Simplify right side
    853.82x = 469,431.44
  5. Step 5: Solve for x
    x = 469,431.44/853.82
  6. Step 6: Final answer
    x = 549.80

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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.