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Finding the Fourth Proportional to 519.41, 716.79 and 408.68

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Solution

The fourth proportional to 519.41, 716.79 and 408.68 is: 563.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.41 : 716.79 = 408.68 : x
  2. Step 2: Convert to fraction form
    519.41/716.79 = 408.68/x
  3. Step 3: Cross multiply
    519.41x = 716.79 × 408.68
  4. Step 4: Simplify right side
    519.41x = 292,934.15
  5. Step 5: Solve for x
    x = 292,934.15/519.41
  6. Step 6: Final answer
    x = 563.98

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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.