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Finding the Fourth Proportional to 597.88, 825.09 and 361.79

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Solution

The fourth proportional to 597.88, 825.09 and 361.79 is: 499.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.88 : 825.09 = 361.79 : x
  2. Step 2: Convert to fraction form
    597.88/825.09 = 361.79/x
  3. Step 3: Cross multiply
    597.88x = 825.09 × 361.79
  4. Step 4: Simplify right side
    597.88x = 298,506.31
  5. Step 5: Solve for x
    x = 298,506.31/597.88
  6. Step 6: Final answer
    x = 499.27

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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.