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Finding the Fourth Proportional to 391.68, 588.96 and 375.84

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Solution

The fourth proportional to 391.68, 588.96 and 375.84 is: 565.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.68 : 588.96 = 375.84 : x
  2. Step 2: Convert to fraction form
    391.68/588.96 = 375.84/x
  3. Step 3: Cross multiply
    391.68x = 588.96 × 375.84
  4. Step 4: Simplify right side
    391.68x = 221,354.73
  5. Step 5: Solve for x
    x = 221,354.73/391.68
  6. Step 6: Final answer
    x = 565.14

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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.