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Finding the Fourth Proportional to 380.14, 520.63 and 367.84

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Solution

The fourth proportional to 380.14, 520.63 and 367.84 is: 503.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.14 : 520.63 = 367.84 : x
  2. Step 2: Convert to fraction form
    380.14/520.63 = 367.84/x
  3. Step 3: Cross multiply
    380.14x = 520.63 × 367.84
  4. Step 4: Simplify right side
    380.14x = 191,508.27
  5. Step 5: Solve for x
    x = 191,508.27/380.14
  6. Step 6: Final answer
    x = 503.78

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Why These Related Problems?

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