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Finding the Fourth Proportional to 544.47, 816.02 and 324.41

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Solution

The fourth proportional to 544.47, 816.02 and 324.41 is: 486.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.47 : 816.02 = 324.41 : x
  2. Step 2: Convert to fraction form
    544.47/816.02 = 324.41/x
  3. Step 3: Cross multiply
    544.47x = 816.02 × 324.41
  4. Step 4: Simplify right side
    544.47x = 264,722.39
  5. Step 5: Solve for x
    x = 264,722.39/544.47
  6. Step 6: Final answer
    x = 486.20

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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.