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Finding the Fourth Proportional to 376.15, 563.15 and 299.23

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Solution

The fourth proportional to 376.15, 563.15 and 299.23 is: 447.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.15 : 563.15 = 299.23 : x
  2. Step 2: Convert to fraction form
    376.15/563.15 = 299.23/x
  3. Step 3: Cross multiply
    376.15x = 563.15 × 299.23
  4. Step 4: Simplify right side
    376.15x = 168,511.37
  5. Step 5: Solve for x
    x = 168,511.37/376.15
  6. Step 6: Final answer
    x = 447.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.