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Finding the Fourth Proportional to 320.25, 441.96 and 209.91

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Solution

The fourth proportional to 320.25, 441.96 and 209.91 is: 289.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.25 : 441.96 = 209.91 : x
  2. Step 2: Convert to fraction form
    320.25/441.96 = 209.91/x
  3. Step 3: Cross multiply
    320.25x = 441.96 × 209.91
  4. Step 4: Simplify right side
    320.25x = 92,771.82
  5. Step 5: Solve for x
    x = 92,771.82/320.25
  6. Step 6: Final answer
    x = 289.69

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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.