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Finding the Fourth Proportional to 598.20, 825.81 and 377.49

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Solution

The fourth proportional to 598.20, 825.81 and 377.49 is: 521.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.20 : 825.81 = 377.49 : x
  2. Step 2: Convert to fraction form
    598.20/825.81 = 377.49/x
  3. Step 3: Cross multiply
    598.20x = 825.81 × 377.49
  4. Step 4: Simplify right side
    598.20x = 311,735.02
  5. Step 5: Solve for x
    x = 311,735.02/598.20
  6. Step 6: Final answer
    x = 521.12

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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.