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Finding the Fourth Proportional to 518.67, 716.04 and 322.43

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Solution

The fourth proportional to 518.67, 716.04 and 322.43 is: 445.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.67 : 716.04 = 322.43 : x
  2. Step 2: Convert to fraction form
    518.67/716.04 = 322.43/x
  3. Step 3: Cross multiply
    518.67x = 716.04 × 322.43
  4. Step 4: Simplify right side
    518.67x = 230,869.20
  5. Step 5: Solve for x
    x = 230,869.20/518.67
  6. Step 6: Final answer
    x = 445.12

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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.