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Finding the Fourth Proportional to 402.64, 557.73 and 394.44

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Solution

The fourth proportional to 402.64, 557.73 and 394.44 is: 546.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.64 : 557.73 = 394.44 : x
  2. Step 2: Convert to fraction form
    402.64/557.73 = 394.44/x
  3. Step 3: Cross multiply
    402.64x = 557.73 × 394.44
  4. Step 4: Simplify right side
    402.64x = 219,988.93
  5. Step 5: Solve for x
    x = 219,988.93/402.64
  6. Step 6: Final answer
    x = 546.37

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.