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Finding the Fourth Proportional to 519.26, 716.36 and 322.43

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Solution

The fourth proportional to 519.26, 716.36 and 322.43 is: 444.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.26 : 716.36 = 322.43 : x
  2. Step 2: Convert to fraction form
    519.26/716.36 = 322.43/x
  3. Step 3: Cross multiply
    519.26x = 716.36 × 322.43
  4. Step 4: Simplify right side
    519.26x = 230,973.18
  5. Step 5: Solve for x
    x = 230,973.18/519.26
  6. Step 6: Final answer
    x = 444.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.