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Finding the Fourth Proportional to 422.75, 583.41 and 248.11

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Solution

The fourth proportional to 422.75, 583.41 and 248.11 is: 342.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.75 : 583.41 = 248.11 : x
  2. Step 2: Convert to fraction form
    422.75/583.41 = 248.11/x
  3. Step 3: Cross multiply
    422.75x = 583.41 × 248.11
  4. Step 4: Simplify right side
    422.75x = 144,749.86
  5. Step 5: Solve for x
    x = 144,749.86/422.75
  6. Step 6: Final answer
    x = 342.40

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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.