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Finding the Fourth Proportional to 330.96, 496.20 and 209.04

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Solution

The fourth proportional to 330.96, 496.20 and 209.04 is: 313.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.96 : 496.20 = 209.04 : x
  2. Step 2: Convert to fraction form
    330.96/496.20 = 209.04/x
  3. Step 3: Cross multiply
    330.96x = 496.20 × 209.04
  4. Step 4: Simplify right side
    330.96x = 103,725.65
  5. Step 5: Solve for x
    x = 103,725.65/330.96
  6. Step 6: Final answer
    x = 313.41

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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.