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Finding the Fourth Proportional to 519.76, 717.54 and 333.52

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Solution

The fourth proportional to 519.76, 717.54 and 333.52 is: 460.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.76 : 717.54 = 333.52 : x
  2. Step 2: Convert to fraction form
    519.76/717.54 = 333.52/x
  3. Step 3: Cross multiply
    519.76x = 717.54 × 333.52
  4. Step 4: Simplify right side
    519.76x = 239,313.94
  5. Step 5: Solve for x
    x = 239,313.94/519.76
  6. Step 6: Final answer
    x = 460.43

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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.