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Finding the Fourth Proportional to 422.63, 583.28 and 256.85

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Solution

The fourth proportional to 422.63, 583.28 and 256.85 is: 354.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.63 : 583.28 = 256.85 : x
  2. Step 2: Convert to fraction form
    422.63/583.28 = 256.85/x
  3. Step 3: Cross multiply
    422.63x = 583.28 × 256.85
  4. Step 4: Simplify right side
    422.63x = 149,815.47
  5. Step 5: Solve for x
    x = 149,815.47/422.63
  6. Step 6: Final answer
    x = 354.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.