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Finding the Fourth Proportional to 422.91, 583.79 and 275.78

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Solution

The fourth proportional to 422.91, 583.79 and 275.78 is: 380.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.91 : 583.79 = 275.78 : x
  2. Step 2: Convert to fraction form
    422.91/583.79 = 275.78/x
  3. Step 3: Cross multiply
    422.91x = 583.79 × 275.78
  4. Step 4: Simplify right side
    422.91x = 160,993.31
  5. Step 5: Solve for x
    x = 160,993.31/422.91
  6. Step 6: Final answer
    x = 380.68

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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.