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Finding the Fourth Proportional to 544.01, 817.22 and 327.74

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Solution

The fourth proportional to 544.01, 817.22 and 327.74 is: 492.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.01 : 817.22 = 327.74 : x
  2. Step 2: Convert to fraction form
    544.01/817.22 = 327.74/x
  3. Step 3: Cross multiply
    544.01x = 817.22 × 327.74
  4. Step 4: Simplify right side
    544.01x = 267,829.96
  5. Step 5: Solve for x
    x = 267,829.96/544.01
  6. Step 6: Final answer
    x = 492.33

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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.