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Finding the Fourth Proportional to 519.49, 716.64 and 379.37

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Solution

The fourth proportional to 519.49, 716.64 and 379.37 is: 523.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.49 : 716.64 = 379.37 : x
  2. Step 2: Convert to fraction form
    519.49/716.64 = 379.37/x
  3. Step 3: Cross multiply
    519.49x = 716.64 × 379.37
  4. Step 4: Simplify right side
    519.49x = 271,871.72
  5. Step 5: Solve for x
    x = 271,871.72/519.49
  6. Step 6: Final answer
    x = 523.35

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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.