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Finding the Fourth Proportional to 375.66, 518.43 and 209.92

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Solution

The fourth proportional to 375.66, 518.43 and 209.92 is: 289.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.66 : 518.43 = 209.92 : x
  2. Step 2: Convert to fraction form
    375.66/518.43 = 209.92/x
  3. Step 3: Cross multiply
    375.66x = 518.43 × 209.92
  4. Step 4: Simplify right side
    375.66x = 108,828.83
  5. Step 5: Solve for x
    x = 108,828.83/375.66
  6. Step 6: Final answer
    x = 289.70

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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.