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Finding the Fourth Proportional to 330.89, 496.33 and 209.39

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Solution

The fourth proportional to 330.89, 496.33 and 209.39 is: 314.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.89 : 496.33 = 209.39 : x
  2. Step 2: Convert to fraction form
    330.89/496.33 = 209.39/x
  3. Step 3: Cross multiply
    330.89x = 496.33 × 209.39
  4. Step 4: Simplify right side
    330.89x = 103,923.53
  5. Step 5: Solve for x
    x = 103,923.53/330.89
  6. Step 6: Final answer
    x = 314.08

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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.