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Finding the Fourth Proportional to 559.54, 771.80 and 338.56

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Solution

The fourth proportional to 559.54, 771.80 and 338.56 is: 466.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.54 : 771.80 = 338.56 : x
  2. Step 2: Convert to fraction form
    559.54/771.80 = 338.56/x
  3. Step 3: Cross multiply
    559.54x = 771.80 × 338.56
  4. Step 4: Simplify right side
    559.54x = 261,300.61
  5. Step 5: Solve for x
    x = 261,300.61/559.54
  6. Step 6: Final answer
    x = 466.99

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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.