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Finding the Fourth Proportional to 402.46, 554.61 and 271.24

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Solution

The fourth proportional to 402.46, 554.61 and 271.24 is: 373.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.46 : 554.61 = 271.24 : x
  2. Step 2: Convert to fraction form
    402.46/554.61 = 271.24/x
  3. Step 3: Cross multiply
    402.46x = 554.61 × 271.24
  4. Step 4: Simplify right side
    402.46x = 150,432.05
  5. Step 5: Solve for x
    x = 150,432.05/402.46
  6. Step 6: Final answer
    x = 373.78

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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.