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Finding the Fourth Proportional to 377.73, 520.23 and 303.82

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Solution

The fourth proportional to 377.73, 520.23 and 303.82 is: 418.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.73 : 520.23 = 303.82 : x
  2. Step 2: Convert to fraction form
    377.73/520.23 = 303.82/x
  3. Step 3: Cross multiply
    377.73x = 520.23 × 303.82
  4. Step 4: Simplify right side
    377.73x = 158,056.28
  5. Step 5: Solve for x
    x = 158,056.28/377.73
  6. Step 6: Final answer
    x = 418.43

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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.