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Finding the Fourth Proportional to 519.77, 717.20 and 333.43

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Solution

The fourth proportional to 519.77, 717.20 and 333.43 is: 460.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.77 : 717.20 = 333.43 : x
  2. Step 2: Convert to fraction form
    519.77/717.20 = 333.43/x
  3. Step 3: Cross multiply
    519.77x = 717.20 × 333.43
  4. Step 4: Simplify right side
    519.77x = 239,136.00
  5. Step 5: Solve for x
    x = 239,136.00/519.77
  6. Step 6: Final answer
    x = 460.08

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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.