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Finding the Fourth Proportional to 422.89, 583.66 and 245.82

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Solution

The fourth proportional to 422.89, 583.66 and 245.82 is: 339.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.89 : 583.66 = 245.82 : x
  2. Step 2: Convert to fraction form
    422.89/583.66 = 245.82/x
  3. Step 3: Cross multiply
    422.89x = 583.66 × 245.82
  4. Step 4: Simplify right side
    422.89x = 143,475.30
  5. Step 5: Solve for x
    x = 143,475.30/422.89
  6. Step 6: Final answer
    x = 339.27

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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.