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Finding the Fourth Proportional to 816.71, 1,224.68 and 329.39

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Solution

The fourth proportional to 816.71, 1,224.68 and 329.39 is: 493.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.71 : 1,224.68 = 329.39 : x
  2. Step 2: Convert to fraction form
    816.71/1,224.68 = 329.39/x
  3. Step 3: Cross multiply
    816.71x = 1,224.68 × 329.39
  4. Step 4: Simplify right side
    816.71x = 403,401.23
  5. Step 5: Solve for x
    x = 403,401.23/816.71
  6. Step 6: Final answer
    x = 493.94

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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.