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Finding the Fourth Proportional to 598.06, 825.22 and 361.94

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Solution

The fourth proportional to 598.06, 825.22 and 361.94 is: 499.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.06 : 825.22 = 361.94 : x
  2. Step 2: Convert to fraction form
    598.06/825.22 = 361.94/x
  3. Step 3: Cross multiply
    598.06x = 825.22 × 361.94
  4. Step 4: Simplify right side
    598.06x = 298,680.13
  5. Step 5: Solve for x
    x = 298,680.13/598.06
  6. Step 6: Final answer
    x = 499.41

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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.