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Finding the Fourth Proportional to 353.45, 529.97 and 209.27

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Solution

The fourth proportional to 353.45, 529.97 and 209.27 is: 313.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.45 : 529.97 = 209.27 : x
  2. Step 2: Convert to fraction form
    353.45/529.97 = 209.27/x
  3. Step 3: Cross multiply
    353.45x = 529.97 × 209.27
  4. Step 4: Simplify right side
    353.45x = 110,903.13
  5. Step 5: Solve for x
    x = 110,903.13/353.45
  6. Step 6: Final answer
    x = 313.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.