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Finding the Fourth Proportional to 375.20, 517.78 and 209.42

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Solution

The fourth proportional to 375.20, 517.78 and 209.42 is: 289.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.20 : 517.78 = 209.42 : x
  2. Step 2: Convert to fraction form
    375.20/517.78 = 209.42/x
  3. Step 3: Cross multiply
    375.20x = 517.78 × 209.42
  4. Step 4: Simplify right side
    375.20x = 108,433.49
  5. Step 5: Solve for x
    x = 108,433.49/375.20
  6. Step 6: Final answer
    x = 289.00

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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.