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Finding the Fourth Proportional to 559.46, 838.74 and 396.74

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Solution

The fourth proportional to 559.46, 838.74 and 396.74 is: 594.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.46 : 838.74 = 396.74 : x
  2. Step 2: Convert to fraction form
    559.46/838.74 = 396.74/x
  3. Step 3: Cross multiply
    559.46x = 838.74 × 396.74
  4. Step 4: Simplify right side
    559.46x = 332,761.71
  5. Step 5: Solve for x
    x = 332,761.71/559.46
  6. Step 6: Final answer
    x = 594.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.