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Finding the Fourth Proportional to 415.64, 573.46 and 273.88

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Solution

The fourth proportional to 415.64, 573.46 and 273.88 is: 377.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.64 : 573.46 = 273.88 : x
  2. Step 2: Convert to fraction form
    415.64/573.46 = 273.88/x
  3. Step 3: Cross multiply
    415.64x = 573.46 × 273.88
  4. Step 4: Simplify right side
    415.64x = 157,059.22
  5. Step 5: Solve for x
    x = 157,059.22/415.64
  6. Step 6: Final answer
    x = 377.87

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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.