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Finding the Fourth Proportional to 597.83, 825.36 and 376.97

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Solution

The fourth proportional to 597.83, 825.36 and 376.97 is: 520.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.83 : 825.36 = 376.97 : x
  2. Step 2: Convert to fraction form
    597.83/825.36 = 376.97/x
  3. Step 3: Cross multiply
    597.83x = 825.36 × 376.97
  4. Step 4: Simplify right side
    597.83x = 311,135.96
  5. Step 5: Solve for x
    x = 311,135.96/597.83
  6. Step 6: Final answer
    x = 520.44

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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.