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Finding the Fourth Proportional to 365.49, 504.29 and 225.61

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Solution

The fourth proportional to 365.49, 504.29 and 225.61 is: 311.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.49 : 504.29 = 225.61 : x
  2. Step 2: Convert to fraction form
    365.49/504.29 = 225.61/x
  3. Step 3: Cross multiply
    365.49x = 504.29 × 225.61
  4. Step 4: Simplify right side
    365.49x = 113,772.17
  5. Step 5: Solve for x
    x = 113,772.17/365.49
  6. Step 6: Final answer
    x = 311.29

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