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Finding the Fourth Proportional to 422.87, 583.66 and 245.97

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Solution

The fourth proportional to 422.87, 583.66 and 245.97 is: 339.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.87 : 583.66 = 245.97 : x
  2. Step 2: Convert to fraction form
    422.87/583.66 = 245.97/x
  3. Step 3: Cross multiply
    422.87x = 583.66 × 245.97
  4. Step 4: Simplify right side
    422.87x = 143,562.85
  5. Step 5: Solve for x
    x = 143,562.85/422.87
  6. Step 6: Final answer
    x = 339.50

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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.