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Finding the Fourth Proportional to 415.26, 622.58 and 293.76

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Solution

The fourth proportional to 415.26, 622.58 and 293.76 is: 440.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.26 : 622.58 = 293.76 : x
  2. Step 2: Convert to fraction form
    415.26/622.58 = 293.76/x
  3. Step 3: Cross multiply
    415.26x = 622.58 × 293.76
  4. Step 4: Simplify right side
    415.26x = 182,887.63
  5. Step 5: Solve for x
    x = 182,887.63/415.26
  6. Step 6: Final answer
    x = 440.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.