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Finding the Fourth Proportional to 415.27, 619.94 and 360.61

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Solution

The fourth proportional to 415.27, 619.94 and 360.61 is: 538.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.27 : 619.94 = 360.61 : x
  2. Step 2: Convert to fraction form
    415.27/619.94 = 360.61/x
  3. Step 3: Cross multiply
    415.27x = 619.94 × 360.61
  4. Step 4: Simplify right side
    415.27x = 223,556.56
  5. Step 5: Solve for x
    x = 223,556.56/415.27
  6. Step 6: Final answer
    x = 538.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.