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Finding the Fourth Proportional to 319.96, 441.61 and 209.53

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Solution

The fourth proportional to 319.96, 441.61 and 209.53 is: 289.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.96 : 441.61 = 209.53 : x
  2. Step 2: Convert to fraction form
    319.96/441.61 = 209.53/x
  3. Step 3: Cross multiply
    319.96x = 441.61 × 209.53
  4. Step 4: Simplify right side
    319.96x = 92,530.54
  5. Step 5: Solve for x
    x = 92,530.54/319.96
  6. Step 6: Final answer
    x = 289.19

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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.