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Finding the Fourth Proportional to 544.80, 817.28 and 220.14

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Solution

The fourth proportional to 544.80, 817.28 and 220.14 is: 330.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.80 : 817.28 = 220.14 : x
  2. Step 2: Convert to fraction form
    544.80/817.28 = 220.14/x
  3. Step 3: Cross multiply
    544.80x = 817.28 × 220.14
  4. Step 4: Simplify right side
    544.80x = 179,916.02
  5. Step 5: Solve for x
    x = 179,916.02/544.80
  6. Step 6: Final answer
    x = 330.24

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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.