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Finding the Fourth Proportional to 538.66, 809.22 and 322.39

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Solution

The fourth proportional to 538.66, 809.22 and 322.39 is: 484.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.66 : 809.22 = 322.39 : x
  2. Step 2: Convert to fraction form
    538.66/809.22 = 322.39/x
  3. Step 3: Cross multiply
    538.66x = 809.22 × 322.39
  4. Step 4: Simplify right side
    538.66x = 260,884.44
  5. Step 5: Solve for x
    x = 260,884.44/538.66
  6. Step 6: Final answer
    x = 484.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.