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Finding the Fourth Proportional to 519.57, 716.82 and 333.16

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Solution

The fourth proportional to 519.57, 716.82 and 333.16 is: 459.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.57 : 716.82 = 333.16 : x
  2. Step 2: Convert to fraction form
    519.57/716.82 = 333.16/x
  3. Step 3: Cross multiply
    519.57x = 716.82 × 333.16
  4. Step 4: Simplify right side
    519.57x = 238,819.55
  5. Step 5: Solve for x
    x = 238,819.55/519.57
  6. Step 6: Final answer
    x = 459.65

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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.