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Finding the Fourth Proportional to 559.94, 772.72 and 338.83

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Solution

The fourth proportional to 559.94, 772.72 and 338.83 is: 467.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.94 : 772.72 = 338.83 : x
  2. Step 2: Convert to fraction form
    559.94/772.72 = 338.83/x
  3. Step 3: Cross multiply
    559.94x = 772.72 × 338.83
  4. Step 4: Simplify right side
    559.94x = 261,817.94
  5. Step 5: Solve for x
    x = 261,817.94/559.94
  6. Step 6: Final answer
    x = 467.59

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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.