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Finding the Fourth Proportional to 327.42, 493.08 and 276.39

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Solution

The fourth proportional to 327.42, 493.08 and 276.39 is: 416.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.42 : 493.08 = 276.39 : x
  2. Step 2: Convert to fraction form
    327.42/493.08 = 276.39/x
  3. Step 3: Cross multiply
    327.42x = 493.08 × 276.39
  4. Step 4: Simplify right side
    327.42x = 136,282.38
  5. Step 5: Solve for x
    x = 136,282.38/327.42
  6. Step 6: Final answer
    x = 416.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.