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Finding the Fourth Proportional to 598.20, 825.49 and 336.21

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Solution

The fourth proportional to 598.20, 825.49 and 336.21 is: 463.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.20 : 825.49 = 336.21 : x
  2. Step 2: Convert to fraction form
    598.20/825.49 = 336.21/x
  3. Step 3: Cross multiply
    598.20x = 825.49 × 336.21
  4. Step 4: Simplify right side
    598.20x = 277,537.99
  5. Step 5: Solve for x
    x = 277,537.99/598.20
  6. Step 6: Final answer
    x = 463.96

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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.