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Finding the Fourth Proportional to 422.98, 583.53 and 298.62

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Solution

The fourth proportional to 422.98, 583.53 and 298.62 is: 411.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.98 : 583.53 = 298.62 : x
  2. Step 2: Convert to fraction form
    422.98/583.53 = 298.62/x
  3. Step 3: Cross multiply
    422.98x = 583.53 × 298.62
  4. Step 4: Simplify right side
    422.98x = 174,253.73
  5. Step 5: Solve for x
    x = 174,253.73/422.98
  6. Step 6: Final answer
    x = 411.97

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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.