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Finding the Fourth Proportional to 376.42, 518.81 and 306.33

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Solution

The fourth proportional to 376.42, 518.81 and 306.33 is: 422.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.42 : 518.81 = 306.33 : x
  2. Step 2: Convert to fraction form
    376.42/518.81 = 306.33/x
  3. Step 3: Cross multiply
    376.42x = 518.81 × 306.33
  4. Step 4: Simplify right side
    376.42x = 158,926.51
  5. Step 5: Solve for x
    x = 158,926.51/376.42
  6. Step 6: Final answer
    x = 422.20

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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.