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Finding the Fourth Proportional to 395.78, 591.04 and 391.49

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Solution

The fourth proportional to 395.78, 591.04 and 391.49 is: 584.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.78 : 591.04 = 391.49 : x
  2. Step 2: Convert to fraction form
    395.78/591.04 = 391.49/x
  3. Step 3: Cross multiply
    395.78x = 591.04 × 391.49
  4. Step 4: Simplify right side
    395.78x = 231,382.32
  5. Step 5: Solve for x
    x = 231,382.32/395.78
  6. Step 6: Final answer
    x = 584.63

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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.