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Finding the Fourth Proportional to 375.23, 517.86 and 209.50

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Solution

The fourth proportional to 375.23, 517.86 and 209.50 is: 289.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.23 : 517.86 = 209.50 : x
  2. Step 2: Convert to fraction form
    375.23/517.86 = 209.50/x
  3. Step 3: Cross multiply
    375.23x = 517.86 × 209.50
  4. Step 4: Simplify right side
    375.23x = 108,490.38
  5. Step 5: Solve for x
    x = 108,490.38/375.23
  6. Step 6: Final answer
    x = 289.13

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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.