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Finding the Fourth Proportional to 422.97, 583.78 and 245.95

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Solution

The fourth proportional to 422.97, 583.78 and 245.95 is: 339.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.97 : 583.78 = 245.95 : x
  2. Step 2: Convert to fraction form
    422.97/583.78 = 245.95/x
  3. Step 3: Cross multiply
    422.97x = 583.78 × 245.95
  4. Step 4: Simplify right side
    422.97x = 143,580.69
  5. Step 5: Solve for x
    x = 143,580.69/422.97
  6. Step 6: Final answer
    x = 339.46

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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.