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Finding the Fourth Proportional to 377.75, 520.44 and 299.03

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Solution

The fourth proportional to 377.75, 520.44 and 299.03 is: 411.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.75 : 520.44 = 299.03 : x
  2. Step 2: Convert to fraction form
    377.75/520.44 = 299.03/x
  3. Step 3: Cross multiply
    377.75x = 520.44 × 299.03
  4. Step 4: Simplify right side
    377.75x = 155,625.13
  5. Step 5: Solve for x
    x = 155,625.13/377.75
  6. Step 6: Final answer
    x = 411.98

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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.