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Finding the Fourth Proportional to 809.71, 1,214.71 and 322.76

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Solution

The fourth proportional to 809.71, 1,214.71 and 322.76 is: 484.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.71 : 1,214.71 = 322.76 : x
  2. Step 2: Convert to fraction form
    809.71/1,214.71 = 322.76/x
  3. Step 3: Cross multiply
    809.71x = 1,214.71 × 322.76
  4. Step 4: Simplify right side
    809.71x = 392,062.03
  5. Step 5: Solve for x
    x = 392,062.03/809.71
  6. Step 6: Final answer
    x = 484.20

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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.