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Finding the Fourth Proportional to 415.46, 573.34 and 249.69

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Solution

The fourth proportional to 415.46, 573.34 and 249.69 is: 344.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.46 : 573.34 = 249.69 : x
  2. Step 2: Convert to fraction form
    415.46/573.34 = 249.69/x
  3. Step 3: Cross multiply
    415.46x = 573.34 × 249.69
  4. Step 4: Simplify right side
    415.46x = 143,157.26
  5. Step 5: Solve for x
    x = 143,157.26/415.46
  6. Step 6: Final answer
    x = 344.58

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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.