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Finding the Fourth Proportional to 519.34, 716.47 and 322.73

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Solution

The fourth proportional to 519.34, 716.47 and 322.73 is: 445.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.34 : 716.47 = 322.73 : x
  2. Step 2: Convert to fraction form
    519.34/716.47 = 322.73/x
  3. Step 3: Cross multiply
    519.34x = 716.47 × 322.73
  4. Step 4: Simplify right side
    519.34x = 231,229.60
  5. Step 5: Solve for x
    x = 231,229.60/519.34
  6. Step 6: Final answer
    x = 445.24

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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.