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Finding the Fourth Proportional to 597.80, 825.02 and 349.10

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Solution

The fourth proportional to 597.80, 825.02 and 349.10 is: 481.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.80 : 825.02 = 349.10 : x
  2. Step 2: Convert to fraction form
    597.80/825.02 = 349.10/x
  3. Step 3: Cross multiply
    597.80x = 825.02 × 349.10
  4. Step 4: Simplify right side
    597.80x = 288,014.48
  5. Step 5: Solve for x
    x = 288,014.48/597.80
  6. Step 6: Final answer
    x = 481.79

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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.