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Finding the Fourth Proportional to 391.78, 582.39 and 380.13

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Solution

The fourth proportional to 391.78, 582.39 and 380.13 is: 565.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.78 : 582.39 = 380.13 : x
  2. Step 2: Convert to fraction form
    391.78/582.39 = 380.13/x
  3. Step 3: Cross multiply
    391.78x = 582.39 × 380.13
  4. Step 4: Simplify right side
    391.78x = 221,381.73
  5. Step 5: Solve for x
    x = 221,381.73/391.78
  6. Step 6: Final answer
    x = 565.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.