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Finding the Fourth Proportional to 550.33, 763.48 and 523.60

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Solution

The fourth proportional to 550.33, 763.48 and 523.60 is: 726.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.33 : 763.48 = 523.60 : x
  2. Step 2: Convert to fraction form
    550.33/763.48 = 523.60/x
  3. Step 3: Cross multiply
    550.33x = 763.48 × 523.60
  4. Step 4: Simplify right side
    550.33x = 399,758.13
  5. Step 5: Solve for x
    x = 399,758.13/550.33
  6. Step 6: Final answer
    x = 726.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.