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Finding the Fourth Proportional to 550.10, 825.51 and 261.56

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Solution

The fourth proportional to 550.10, 825.51 and 261.56 is: 392.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.10 : 825.51 = 261.56 : x
  2. Step 2: Convert to fraction form
    550.10/825.51 = 261.56/x
  3. Step 3: Cross multiply
    550.10x = 825.51 × 261.56
  4. Step 4: Simplify right side
    550.10x = 215,923.44
  5. Step 5: Solve for x
    x = 215,923.44/550.10
  6. Step 6: Final answer
    x = 392.51

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1.5x scale

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.