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Finding the Fourth Proportional to 422.48, 583.25 and 298.25

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Solution

The fourth proportional to 422.48, 583.25 and 298.25 is: 411.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.48 : 583.25 = 298.25 : x
  2. Step 2: Convert to fraction form
    422.48/583.25 = 298.25/x
  3. Step 3: Cross multiply
    422.48x = 583.25 × 298.25
  4. Step 4: Simplify right side
    422.48x = 173,949.91
  5. Step 5: Solve for x
    x = 173,949.91/422.48
  6. Step 6: Final answer
    x = 411.74

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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.