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Finding the Fourth Proportional to 365.97, 505.62 and 255.93

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Solution

The fourth proportional to 365.97, 505.62 and 255.93 is: 353.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.97 : 505.62 = 255.93 : x
  2. Step 2: Convert to fraction form
    365.97/505.62 = 255.93/x
  3. Step 3: Cross multiply
    365.97x = 505.62 × 255.93
  4. Step 4: Simplify right side
    365.97x = 129,403.33
  5. Step 5: Solve for x
    x = 129,403.33/365.97
  6. Step 6: Final answer
    x = 353.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.