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Finding the Fourth Proportional to 853.28, 1,279.72 and 414.52

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Solution

The fourth proportional to 853.28, 1,279.72 and 414.52 is: 621.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.28 : 1,279.72 = 414.52 : x
  2. Step 2: Convert to fraction form
    853.28/1,279.72 = 414.52/x
  3. Step 3: Cross multiply
    853.28x = 1,279.72 × 414.52
  4. Step 4: Simplify right side
    853.28x = 530,469.53
  5. Step 5: Solve for x
    x = 530,469.53/853.28
  6. Step 6: Final answer
    x = 621.68

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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.