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Finding the Fourth Proportional to 519.57, 716.64 and 333.29

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Solution

The fourth proportional to 519.57, 716.64 and 333.29 is: 459.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.57 : 716.64 = 333.29 : x
  2. Step 2: Convert to fraction form
    519.57/716.64 = 333.29/x
  3. Step 3: Cross multiply
    519.57x = 716.64 × 333.29
  4. Step 4: Simplify right side
    519.57x = 238,848.95
  5. Step 5: Solve for x
    x = 238,848.95/519.57
  6. Step 6: Final answer
    x = 459.71

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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.