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Finding the Fourth Proportional to 538.87, 809.12 and 214.87

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Solution

The fourth proportional to 538.87, 809.12 and 214.87 is: 322.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.87 : 809.12 = 214.87 : x
  2. Step 2: Convert to fraction form
    538.87/809.12 = 214.87/x
  3. Step 3: Cross multiply
    538.87x = 809.12 × 214.87
  4. Step 4: Simplify right side
    538.87x = 173,854.54
  5. Step 5: Solve for x
    x = 173,854.54/538.87
  6. Step 6: Final answer
    x = 322.63

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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.