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Finding the Fourth Proportional to 598.27, 825.74 and 336.37

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Solution

The fourth proportional to 598.27, 825.74 and 336.37 is: 464.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.27 : 825.74 = 336.37 : x
  2. Step 2: Convert to fraction form
    598.27/825.74 = 336.37/x
  3. Step 3: Cross multiply
    598.27x = 825.74 × 336.37
  4. Step 4: Simplify right side
    598.27x = 277,754.16
  5. Step 5: Solve for x
    x = 277,754.16/598.27
  6. Step 6: Final answer
    x = 464.26

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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.