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Finding the Fourth Proportional to 391.62, 588.22 and 296.04

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Solution

The fourth proportional to 391.62, 588.22 and 296.04 is: 444.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.62 : 588.22 = 296.04 : x
  2. Step 2: Convert to fraction form
    391.62/588.22 = 296.04/x
  3. Step 3: Cross multiply
    391.62x = 588.22 × 296.04
  4. Step 4: Simplify right side
    391.62x = 174,136.65
  5. Step 5: Solve for x
    x = 174,136.65/391.62
  6. Step 6: Final answer
    x = 444.66

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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.