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Finding the Fourth Proportional to 559.15, 771.27 and 338.02

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Solution

The fourth proportional to 559.15, 771.27 and 338.02 is: 466.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.15 : 771.27 = 338.02 : x
  2. Step 2: Convert to fraction form
    559.15/771.27 = 338.02/x
  3. Step 3: Cross multiply
    559.15x = 771.27 × 338.02
  4. Step 4: Simplify right side
    559.15x = 260,704.69
  5. Step 5: Solve for x
    x = 260,704.69/559.15
  6. Step 6: Final answer
    x = 466.25

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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.