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Finding the Fourth Proportional to 546.75, 754.20 and 360.27

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Solution

The fourth proportional to 546.75, 754.20 and 360.27 is: 496.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.75 : 754.20 = 360.27 : x
  2. Step 2: Convert to fraction form
    546.75/754.20 = 360.27/x
  3. Step 3: Cross multiply
    546.75x = 754.20 × 360.27
  4. Step 4: Simplify right side
    546.75x = 271,715.63
  5. Step 5: Solve for x
    x = 271,715.63/546.75
  6. Step 6: Final answer
    x = 496.97

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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.