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Finding the Fourth Proportional to 853.47, 1,279.83 and 333.20

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Solution

The fourth proportional to 853.47, 1,279.83 and 333.20 is: 499.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.47 : 1,279.83 = 333.20 : x
  2. Step 2: Convert to fraction form
    853.47/1,279.83 = 333.20/x
  3. Step 3: Cross multiply
    853.47x = 1,279.83 × 333.20
  4. Step 4: Simplify right side
    853.47x = 426,432.96
  5. Step 5: Solve for x
    x = 426,432.96/853.47
  6. Step 6: Final answer
    x = 499.65

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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.