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Finding the Fourth Proportional to 598.41, 825.79 and 336.42

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Solution

The fourth proportional to 598.41, 825.79 and 336.42 is: 464.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.41 : 825.79 = 336.42 : x
  2. Step 2: Convert to fraction form
    598.41/825.79 = 336.42/x
  3. Step 3: Cross multiply
    598.41x = 825.79 × 336.42
  4. Step 4: Simplify right side
    598.41x = 277,815.18
  5. Step 5: Solve for x
    x = 277,815.18/598.41
  6. Step 6: Final answer
    x = 464.26

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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.