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Finding the Fourth Proportional to 422.44, 582.87 and 256.66

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Solution

The fourth proportional to 422.44, 582.87 and 256.66 is: 354.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.44 : 582.87 = 256.66 : x
  2. Step 2: Convert to fraction form
    422.44/582.87 = 256.66/x
  3. Step 3: Cross multiply
    422.44x = 582.87 × 256.66
  4. Step 4: Simplify right side
    422.44x = 149,597.96
  5. Step 5: Solve for x
    x = 149,597.96/422.44
  6. Step 6: Final answer
    x = 354.13

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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.