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Finding the Fourth Proportional to 395.06, 589.14 and 346.54

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Solution

The fourth proportional to 395.06, 589.14 and 346.54 is: 516.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.06 : 589.14 = 346.54 : x
  2. Step 2: Convert to fraction form
    395.06/589.14 = 346.54/x
  3. Step 3: Cross multiply
    395.06x = 589.14 × 346.54
  4. Step 4: Simplify right side
    395.06x = 204,160.58
  5. Step 5: Solve for x
    x = 204,160.58/395.06
  6. Step 6: Final answer
    x = 516.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.