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Finding the Fourth Proportional to 519.41, 776.39 and 396.39

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Solution

The fourth proportional to 519.41, 776.39 and 396.39 is: 592.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.41 : 776.39 = 396.39 : x
  2. Step 2: Convert to fraction form
    519.41/776.39 = 396.39/x
  3. Step 3: Cross multiply
    519.41x = 776.39 × 396.39
  4. Step 4: Simplify right side
    519.41x = 307,754.16
  5. Step 5: Solve for x
    x = 307,754.16/519.41
  6. Step 6: Final answer
    x = 592.50

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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.