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Finding the Fourth Proportional to 416.87, 573.93 and 343.05

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Solution

The fourth proportional to 416.87, 573.93 and 343.05 is: 472.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.87 : 573.93 = 343.05 : x
  2. Step 2: Convert to fraction form
    416.87/573.93 = 343.05/x
  3. Step 3: Cross multiply
    416.87x = 573.93 × 343.05
  4. Step 4: Simplify right side
    416.87x = 196,884.97
  5. Step 5: Solve for x
    x = 196,884.97/416.87
  6. Step 6: Final answer
    x = 472.30

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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.