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Finding the Fourth Proportional to 519.33, 716.79 and 332.97

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Solution

The fourth proportional to 519.33, 716.79 and 332.97 is: 459.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.33 : 716.79 = 332.97 : x
  2. Step 2: Convert to fraction form
    519.33/716.79 = 332.97/x
  3. Step 3: Cross multiply
    519.33x = 716.79 × 332.97
  4. Step 4: Simplify right side
    519.33x = 238,669.57
  5. Step 5: Solve for x
    x = 238,669.57/519.33
  6. Step 6: Final answer
    x = 459.57

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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.