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Finding the Fourth Proportional to 375.28, 517.83 and 209.45

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Solution

The fourth proportional to 375.28, 517.83 and 209.45 is: 289.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.28 : 517.83 = 209.45 : x
  2. Step 2: Convert to fraction form
    375.28/517.83 = 209.45/x
  3. Step 3: Cross multiply
    375.28x = 517.83 × 209.45
  4. Step 4: Simplify right side
    375.28x = 108,459.49
  5. Step 5: Solve for x
    x = 108,459.49/375.28
  6. Step 6: Final answer
    x = 289.01

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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.