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Finding the Fourth Proportional to 416.42, 574.14 and 327.74

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Solution

The fourth proportional to 416.42, 574.14 and 327.74 is: 451.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.42 : 574.14 = 327.74 : x
  2. Step 2: Convert to fraction form
    416.42/574.14 = 327.74/x
  3. Step 3: Cross multiply
    416.42x = 574.14 × 327.74
  4. Step 4: Simplify right side
    416.42x = 188,168.64
  5. Step 5: Solve for x
    x = 188,168.64/416.42
  6. Step 6: Final answer
    x = 451.87

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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.