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Finding the Fourth Proportional to 365.46, 504.29 and 223.61

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Solution

The fourth proportional to 365.46, 504.29 and 223.61 is: 308.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.46 : 504.29 = 223.61 : x
  2. Step 2: Convert to fraction form
    365.46/504.29 = 223.61/x
  3. Step 3: Cross multiply
    365.46x = 504.29 × 223.61
  4. Step 4: Simplify right side
    365.46x = 112,760.65
  5. Step 5: Solve for x
    x = 112,760.65/365.46
  6. Step 6: Final answer
    x = 308.54

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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.