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Finding the Fourth Proportional to 598.21, 825.42 and 377.44

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Solution

The fourth proportional to 598.21, 825.42 and 377.44 is: 520.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.21 : 825.42 = 377.44 : x
  2. Step 2: Convert to fraction form
    598.21/825.42 = 377.44/x
  3. Step 3: Cross multiply
    598.21x = 825.42 × 377.44
  4. Step 4: Simplify right side
    598.21x = 311,546.52
  5. Step 5: Solve for x
    x = 311,546.52/598.21
  6. Step 6: Final answer
    x = 520.80

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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.