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Finding the Fourth Proportional to 619.05, 853.61 and 422.67

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Solution

The fourth proportional to 619.05, 853.61 and 422.67 is: 582.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.05 : 853.61 = 422.67 : x
  2. Step 2: Convert to fraction form
    619.05/853.61 = 422.67/x
  3. Step 3: Cross multiply
    619.05x = 853.61 × 422.67
  4. Step 4: Simplify right side
    619.05x = 360,793.23
  5. Step 5: Solve for x
    x = 360,793.23/619.05
  6. Step 6: Final answer
    x = 582.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.