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Finding the Fourth Proportional to 854.28, 1,280.34 and 443.61

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Solution

The fourth proportional to 854.28, 1,280.34 and 443.61 is: 664.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.28 : 1,280.34 = 443.61 : x
  2. Step 2: Convert to fraction form
    854.28/1,280.34 = 443.61/x
  3. Step 3: Cross multiply
    854.28x = 1,280.34 × 443.61
  4. Step 4: Simplify right side
    854.28x = 567,971.63
  5. Step 5: Solve for x
    x = 567,971.63/854.28
  6. Step 6: Final answer
    x = 664.85

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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.