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Finding the Fourth Proportional to 365.71, 504.68 and 225.78

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Solution

The fourth proportional to 365.71, 504.68 and 225.78 is: 311.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.71 : 504.68 = 225.78 : x
  2. Step 2: Convert to fraction form
    365.71/504.68 = 225.78/x
  3. Step 3: Cross multiply
    365.71x = 504.68 × 225.78
  4. Step 4: Simplify right side
    365.71x = 113,944.13
  5. Step 5: Solve for x
    x = 113,944.13/365.71
  6. Step 6: Final answer
    x = 311.57

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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.