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Finding the Fourth Proportional to 598.25, 825.59 and 336.27

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Solution

The fourth proportional to 598.25, 825.59 and 336.27 is: 464.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.25 : 825.59 = 336.27 : x
  2. Step 2: Convert to fraction form
    598.25/825.59 = 336.27/x
  3. Step 3: Cross multiply
    598.25x = 825.59 × 336.27
  4. Step 4: Simplify right side
    598.25x = 277,621.15
  5. Step 5: Solve for x
    x = 277,621.15/598.25
  6. Step 6: Final answer
    x = 464.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.