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Finding the Fourth Proportional to 519.54, 716.81 and 333.03

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Solution

The fourth proportional to 519.54, 716.81 and 333.03 is: 459.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.54 : 716.81 = 333.03 : x
  2. Step 2: Convert to fraction form
    519.54/716.81 = 333.03/x
  3. Step 3: Cross multiply
    519.54x = 716.81 × 333.03
  4. Step 4: Simplify right side
    519.54x = 238,719.23
  5. Step 5: Solve for x
    x = 238,719.23/519.54
  6. Step 6: Final answer
    x = 459.48

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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.