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Finding the Fourth Proportional to 559.30, 771.74 and 338.24

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Solution

The fourth proportional to 559.30, 771.74 and 338.24 is: 466.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.30 : 771.74 = 338.24 : x
  2. Step 2: Convert to fraction form
    559.30/771.74 = 338.24/x
  3. Step 3: Cross multiply
    559.30x = 771.74 × 338.24
  4. Step 4: Simplify right side
    559.30x = 261,033.34
  5. Step 5: Solve for x
    x = 261,033.34/559.30
  6. Step 6: Final answer
    x = 466.71

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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.