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Finding the Fourth Proportional to 365.41, 504.11 and 282.79

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Solution

The fourth proportional to 365.41, 504.11 and 282.79 is: 390.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.41 : 504.11 = 282.79 : x
  2. Step 2: Convert to fraction form
    365.41/504.11 = 282.79/x
  3. Step 3: Cross multiply
    365.41x = 504.11 × 282.79
  4. Step 4: Simplify right side
    365.41x = 142,553.33
  5. Step 5: Solve for x
    x = 142,553.33/365.41
  6. Step 6: Final answer
    x = 390.12

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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.