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Finding the Fourth Proportional to 422.80, 583.26 and 257.02

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Solution

The fourth proportional to 422.80, 583.26 and 257.02 is: 354.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.80 : 583.26 = 257.02 : x
  2. Step 2: Convert to fraction form
    422.80/583.26 = 257.02/x
  3. Step 3: Cross multiply
    422.80x = 583.26 × 257.02
  4. Step 4: Simplify right side
    422.80x = 149,909.49
  5. Step 5: Solve for x
    x = 149,909.49/422.80
  6. Step 6: Final answer
    x = 354.56

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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.