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Finding the Fourth Proportional to 422.72, 582.99 and 275.30

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Solution

The fourth proportional to 422.72, 582.99 and 275.30 is: 379.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.72 : 582.99 = 275.30 : x
  2. Step 2: Convert to fraction form
    422.72/582.99 = 275.30/x
  3. Step 3: Cross multiply
    422.72x = 582.99 × 275.30
  4. Step 4: Simplify right side
    422.72x = 160,497.15
  5. Step 5: Solve for x
    x = 160,497.15/422.72
  6. Step 6: Final answer
    x = 379.68

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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.