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Finding the Fourth Proportional to 550.28, 825.36 and 414.20

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Solution

The fourth proportional to 550.28, 825.36 and 414.20 is: 621.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.28 : 825.36 = 414.20 : x
  2. Step 2: Convert to fraction form
    550.28/825.36 = 414.20/x
  3. Step 3: Cross multiply
    550.28x = 825.36 × 414.20
  4. Step 4: Simplify right side
    550.28x = 341,864.11
  5. Step 5: Solve for x
    x = 341,864.11/550.28
  6. Step 6: Final answer
    x = 621.25

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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.