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Finding the Fourth Proportional to 598.05, 825.32 and 361.99

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Solution

The fourth proportional to 598.05, 825.32 and 361.99 is: 499.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.05 : 825.32 = 361.99 : x
  2. Step 2: Convert to fraction form
    598.05/825.32 = 361.99/x
  3. Step 3: Cross multiply
    598.05x = 825.32 × 361.99
  4. Step 4: Simplify right side
    598.05x = 298,757.59
  5. Step 5: Solve for x
    x = 298,757.59/598.05
  6. Step 6: Final answer
    x = 499.55

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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.