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Finding the Fourth Proportional to 598.30, 825.71 and 336.31

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Solution

The fourth proportional to 598.30, 825.71 and 336.31 is: 464.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.30 : 825.71 = 336.31 : x
  2. Step 2: Convert to fraction form
    598.30/825.71 = 336.31/x
  3. Step 3: Cross multiply
    598.30x = 825.71 × 336.31
  4. Step 4: Simplify right side
    598.30x = 277,690.78
  5. Step 5: Solve for x
    x = 277,690.78/598.30
  6. Step 6: Final answer
    x = 464.13

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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.