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Finding the Fourth Proportional to 375.72, 518.50 and 209.93

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Solution

The fourth proportional to 375.72, 518.50 and 209.93 is: 289.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.72 : 518.50 = 209.93 : x
  2. Step 2: Convert to fraction form
    375.72/518.50 = 209.93/x
  3. Step 3: Cross multiply
    375.72x = 518.50 × 209.93
  4. Step 4: Simplify right side
    375.72x = 108,848.56
  5. Step 5: Solve for x
    x = 108,848.56/375.72
  6. Step 6: Final answer
    x = 289.71

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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.