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Finding the Fourth Proportional to 414.59, 573.26 and 395.19

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Solution

The fourth proportional to 414.59, 573.26 and 395.19 is: 546.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.59 : 573.26 = 395.19 : x
  2. Step 2: Convert to fraction form
    414.59/573.26 = 395.19/x
  3. Step 3: Cross multiply
    414.59x = 573.26 × 395.19
  4. Step 4: Simplify right side
    414.59x = 226,544.64
  5. Step 5: Solve for x
    x = 226,544.64/414.59
  6. Step 6: Final answer
    x = 546.44

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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.