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Finding the Fourth Proportional to 416.73, 574.25 and 343.56

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Solution

The fourth proportional to 416.73, 574.25 and 343.56 is: 473.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.73 : 574.25 = 343.56 : x
  2. Step 2: Convert to fraction form
    416.73/574.25 = 343.56/x
  3. Step 3: Cross multiply
    416.73x = 574.25 × 343.56
  4. Step 4: Simplify right side
    416.73x = 197,287.61
  5. Step 5: Solve for x
    x = 197,287.61/416.73
  6. Step 6: Final answer
    x = 473.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.