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Finding the Fourth Proportional to 816.14, 1,224.30 and 329.24

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Solution

The fourth proportional to 816.14, 1,224.30 and 329.24 is: 493.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.14 : 1,224.30 = 329.24 : x
  2. Step 2: Convert to fraction form
    816.14/1,224.30 = 329.24/x
  3. Step 3: Cross multiply
    816.14x = 1,224.30 × 329.24
  4. Step 4: Simplify right side
    816.14x = 403,088.53
  5. Step 5: Solve for x
    x = 403,088.53/816.14
  6. Step 6: Final answer
    x = 493.90

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Why These Related Problems?

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