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Finding the Fourth Proportional to 546.46, 754.35 and 380.61

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Solution

The fourth proportional to 546.46, 754.35 and 380.61 is: 525.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.46 : 754.35 = 380.61 : x
  2. Step 2: Convert to fraction form
    546.46/754.35 = 380.61/x
  3. Step 3: Cross multiply
    546.46x = 754.35 × 380.61
  4. Step 4: Simplify right side
    546.46x = 287,115.04
  5. Step 5: Solve for x
    x = 287,115.04/546.46
  6. Step 6: Final answer
    x = 525.41

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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.