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Finding the Fourth Proportional to 391.82, 586.80 and 330.80

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Solution

The fourth proportional to 391.82, 586.80 and 330.80 is: 495.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.82 : 586.80 = 330.80 : x
  2. Step 2: Convert to fraction form
    391.82/586.80 = 330.80/x
  3. Step 3: Cross multiply
    391.82x = 586.80 × 330.80
  4. Step 4: Simplify right side
    391.82x = 194,110.51
  5. Step 5: Solve for x
    x = 194,110.51/391.82
  6. Step 6: Final answer
    x = 495.41

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