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Finding the Fourth Proportional to 336.75, 462.16 and 327.63

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Solution

The fourth proportional to 336.75, 462.16 and 327.63 is: 449.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.75 : 462.16 = 327.63 : x
  2. Step 2: Convert to fraction form
    336.75/462.16 = 327.63/x
  3. Step 3: Cross multiply
    336.75x = 462.16 × 327.63
  4. Step 4: Simplify right side
    336.75x = 151,417.48
  5. Step 5: Solve for x
    x = 151,417.48/336.75
  6. Step 6: Final answer
    x = 449.64

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.