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Finding the Fourth Proportional to 415.87, 573.91 and 229.37

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Solution

The fourth proportional to 415.87, 573.91 and 229.37 is: 316.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.87 : 573.91 = 229.37 : x
  2. Step 2: Convert to fraction form
    415.87/573.91 = 229.37/x
  3. Step 3: Cross multiply
    415.87x = 573.91 × 229.37
  4. Step 4: Simplify right side
    415.87x = 131,633.72
  5. Step 5: Solve for x
    x = 131,633.72/415.87
  6. Step 6: Final answer
    x = 316.53

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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.