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Finding the Fourth Proportional to 544.54, 816.24 and 414.18

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Solution

The fourth proportional to 544.54, 816.24 and 414.18 is: 620.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.54 : 816.24 = 414.18 : x
  2. Step 2: Convert to fraction form
    544.54/816.24 = 414.18/x
  3. Step 3: Cross multiply
    544.54x = 816.24 × 414.18
  4. Step 4: Simplify right side
    544.54x = 338,070.28
  5. Step 5: Solve for x
    x = 338,070.28/544.54
  6. Step 6: Final answer
    x = 620.84

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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.