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Finding the Fourth Proportional to 518.69, 716.02 and 322.27

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Solution

The fourth proportional to 518.69, 716.02 and 322.27 is: 444.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.69 : 716.02 = 322.27 : x
  2. Step 2: Convert to fraction form
    518.69/716.02 = 322.27/x
  3. Step 3: Cross multiply
    518.69x = 716.02 × 322.27
  4. Step 4: Simplify right side
    518.69x = 230,749.17
  5. Step 5: Solve for x
    x = 230,749.17/518.69
  6. Step 6: Final answer
    x = 444.87

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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.