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Finding the Fourth Proportional to 550.62, 825.93 and 538.47

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Solution

The fourth proportional to 550.62, 825.93 and 538.47 is: 807.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.62 : 825.93 = 538.47 : x
  2. Step 2: Convert to fraction form
    550.62/825.93 = 538.47/x
  3. Step 3: Cross multiply
    550.62x = 825.93 × 538.47
  4. Step 4: Simplify right side
    550.62x = 444,738.53
  5. Step 5: Solve for x
    x = 444,738.53/550.62
  6. Step 6: Final answer
    x = 807.71

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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.