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Finding the Fourth Proportional to 327.25, 450.16 and 313.93

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Solution

The fourth proportional to 327.25, 450.16 and 313.93 is: 431.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.25 : 450.16 = 313.93 : x
  2. Step 2: Convert to fraction form
    327.25/450.16 = 313.93/x
  3. Step 3: Cross multiply
    327.25x = 450.16 × 313.93
  4. Step 4: Simplify right side
    327.25x = 141,318.73
  5. Step 5: Solve for x
    x = 141,318.73/327.25
  6. Step 6: Final answer
    x = 431.84

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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.