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Finding the Fourth Proportional to 598.27, 825.72 and 336.27

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Solution

The fourth proportional to 598.27, 825.72 and 336.27 is: 464.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.27 : 825.72 = 336.27 : x
  2. Step 2: Convert to fraction form
    598.27/825.72 = 336.27/x
  3. Step 3: Cross multiply
    598.27x = 825.72 × 336.27
  4. Step 4: Simplify right side
    598.27x = 277,661.58
  5. Step 5: Solve for x
    x = 277,661.58/598.27
  6. Step 6: Final answer
    x = 464.11

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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.