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Finding the Fourth Proportional to 416.57, 573.90 and 343.31

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Solution

The fourth proportional to 416.57, 573.90 and 343.31 is: 472.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.57 : 573.90 = 343.31 : x
  2. Step 2: Convert to fraction form
    416.57/573.90 = 343.31/x
  3. Step 3: Cross multiply
    416.57x = 573.90 × 343.31
  4. Step 4: Simplify right side
    416.57x = 197,025.61
  5. Step 5: Solve for x
    x = 197,025.61/416.57
  6. Step 6: Final answer
    x = 472.97

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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.