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Finding the Fourth Proportional to 597.81, 825.04 and 349.09

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Solution

The fourth proportional to 597.81, 825.04 and 349.09 is: 481.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.81 : 825.04 = 349.09 : x
  2. Step 2: Convert to fraction form
    597.81/825.04 = 349.09/x
  3. Step 3: Cross multiply
    597.81x = 825.04 × 349.09
  4. Step 4: Simplify right side
    597.81x = 288,013.21
  5. Step 5: Solve for x
    x = 288,013.21/597.81
  6. Step 6: Final answer
    x = 481.78

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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.