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Finding the Fourth Proportional to 375.10, 517.59 and 209.30

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Solution

The fourth proportional to 375.10, 517.59 and 209.30 is: 288.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.10 : 517.59 = 209.30 : x
  2. Step 2: Convert to fraction form
    375.10/517.59 = 209.30/x
  3. Step 3: Cross multiply
    375.10x = 517.59 × 209.30
  4. Step 4: Simplify right side
    375.10x = 108,331.91
  5. Step 5: Solve for x
    x = 108,331.91/375.10
  6. Step 6: Final answer
    x = 288.81

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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.