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Finding the Fourth Proportional to 416.40, 574.34 and 276.44

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Solution

The fourth proportional to 416.40, 574.34 and 276.44 is: 381.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.40 : 574.34 = 276.44 : x
  2. Step 2: Convert to fraction form
    416.40/574.34 = 276.44/x
  3. Step 3: Cross multiply
    416.40x = 574.34 × 276.44
  4. Step 4: Simplify right side
    416.40x = 158,770.55
  5. Step 5: Solve for x
    x = 158,770.55/416.40
  6. Step 6: Final answer
    x = 381.29

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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.