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Finding the Fourth Proportional to 375.05, 517.53 and 209.24

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Solution

The fourth proportional to 375.05, 517.53 and 209.24 is: 288.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.05 : 517.53 = 209.24 : x
  2. Step 2: Convert to fraction form
    375.05/517.53 = 209.24/x
  3. Step 3: Cross multiply
    375.05x = 517.53 × 209.24
  4. Step 4: Simplify right side
    375.05x = 108,287.98
  5. Step 5: Solve for x
    x = 108,287.98/375.05
  6. Step 6: Final answer
    x = 288.73

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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.