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Finding the Fourth Proportional to 415.82, 573.82 and 229.31

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Solution

The fourth proportional to 415.82, 573.82 and 229.31 is: 316.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.82 : 573.82 = 229.31 : x
  2. Step 2: Convert to fraction form
    415.82/573.82 = 229.31/x
  3. Step 3: Cross multiply
    415.82x = 573.82 × 229.31
  4. Step 4: Simplify right side
    415.82x = 131,579.22
  5. Step 5: Solve for x
    x = 131,579.22/415.82
  6. Step 6: Final answer
    x = 316.43

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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.