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Finding the Fourth Proportional to 559.46, 772.02 and 338.28

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Solution

The fourth proportional to 559.46, 772.02 and 338.28 is: 466.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.46 : 772.02 = 338.28 : x
  2. Step 2: Convert to fraction form
    559.46/772.02 = 338.28/x
  3. Step 3: Cross multiply
    559.46x = 772.02 × 338.28
  4. Step 4: Simplify right side
    559.46x = 261,158.93
  5. Step 5: Solve for x
    x = 261,158.93/559.46
  6. Step 6: Final answer
    x = 466.81

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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.