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Finding the Fourth Proportional to 365.82, 505.13 and 282.80

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Solution

The fourth proportional to 365.82, 505.13 and 282.80 is: 390.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.82 : 505.13 = 282.80 : x
  2. Step 2: Convert to fraction form
    365.82/505.13 = 282.80/x
  3. Step 3: Cross multiply
    365.82x = 505.13 × 282.80
  4. Step 4: Simplify right side
    365.82x = 142,846.82
  5. Step 5: Solve for x
    x = 142,846.82/365.82
  6. Step 6: Final answer
    x = 390.48

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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.