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Finding the Fourth Proportional to 375.80, 563.70 and 333.08

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Solution

The fourth proportional to 375.80, 563.70 and 333.08 is: 499.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.80 : 563.70 = 333.08 : x
  2. Step 2: Convert to fraction form
    375.80/563.70 = 333.08/x
  3. Step 3: Cross multiply
    375.80x = 563.70 × 333.08
  4. Step 4: Simplify right side
    375.80x = 187,757.20
  5. Step 5: Solve for x
    x = 187,757.20/375.80
  6. Step 6: Final answer
    x = 499.62

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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.