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Finding the Fourth Proportional to 598.48, 825.81 and 336.44

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Solution

The fourth proportional to 598.48, 825.81 and 336.44 is: 464.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.48 : 825.81 = 336.44 : x
  2. Step 2: Convert to fraction form
    598.48/825.81 = 336.44/x
  3. Step 3: Cross multiply
    598.48x = 825.81 × 336.44
  4. Step 4: Simplify right side
    598.48x = 277,835.52
  5. Step 5: Solve for x
    x = 277,835.52/598.48
  6. Step 6: Final answer
    x = 464.24

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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.