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Finding the Fourth Proportional to 578.75, 798.62 and 391.95

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Solution

The fourth proportional to 578.75, 798.62 and 391.95 is: 540.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.75 : 798.62 = 391.95 : x
  2. Step 2: Convert to fraction form
    578.75/798.62 = 391.95/x
  3. Step 3: Cross multiply
    578.75x = 798.62 × 391.95
  4. Step 4: Simplify right side
    578.75x = 313,017.15
  5. Step 5: Solve for x
    x = 313,017.15/578.75
  6. Step 6: Final answer
    x = 540.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.