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Finding the Fourth Proportional to 365.78, 504.73 and 208.41

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Solution

The fourth proportional to 365.78, 504.73 and 208.41 is: 287.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.78 : 504.73 = 208.41 : x
  2. Step 2: Convert to fraction form
    365.78/504.73 = 208.41/x
  3. Step 3: Cross multiply
    365.78x = 504.73 × 208.41
  4. Step 4: Simplify right side
    365.78x = 105,189.15
  5. Step 5: Solve for x
    x = 105,189.15/365.78
  6. Step 6: Final answer
    x = 287.57

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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.