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Finding the Fourth Proportional to 414.64, 621.42 and 327.88

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Solution

The fourth proportional to 414.64, 621.42 and 327.88 is: 491.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.64 : 621.42 = 327.88 : x
  2. Step 2: Convert to fraction form
    414.64/621.42 = 327.88/x
  3. Step 3: Cross multiply
    414.64x = 621.42 × 327.88
  4. Step 4: Simplify right side
    414.64x = 203,751.19
  5. Step 5: Solve for x
    x = 203,751.19/414.64
  6. Step 6: Final answer
    x = 491.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.