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Finding the Fourth Proportional to 375.39, 563.49 and 213.21

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Solution

The fourth proportional to 375.39, 563.49 and 213.21 is: 320.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.39 : 563.49 = 213.21 : x
  2. Step 2: Convert to fraction form
    375.39/563.49 = 213.21/x
  3. Step 3: Cross multiply
    375.39x = 563.49 × 213.21
  4. Step 4: Simplify right side
    375.39x = 120,141.70
  5. Step 5: Solve for x
    x = 120,141.70/375.39
  6. Step 6: Final answer
    x = 320.05

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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.