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Finding the Fourth Proportional to 519.35, 717.39 and 422.28

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Solution

The fourth proportional to 519.35, 717.39 and 422.28 is: 583.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.35 : 717.39 = 422.28 : x
  2. Step 2: Convert to fraction form
    519.35/717.39 = 422.28/x
  3. Step 3: Cross multiply
    519.35x = 717.39 × 422.28
  4. Step 4: Simplify right side
    519.35x = 302,939.45
  5. Step 5: Solve for x
    x = 302,939.45/519.35
  6. Step 6: Final answer
    x = 583.31

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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.