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Finding the Fourth Proportional to 422.93, 583.77 and 245.94

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Solution

The fourth proportional to 422.93, 583.77 and 245.94 is: 339.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.93 : 583.77 = 245.94 : x
  2. Step 2: Convert to fraction form
    422.93/583.77 = 245.94/x
  3. Step 3: Cross multiply
    422.93x = 583.77 × 245.94
  4. Step 4: Simplify right side
    422.93x = 143,576.05
  5. Step 5: Solve for x
    x = 143,576.05/422.93
  6. Step 6: Final answer
    x = 339.48

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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.