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Finding the Fourth Proportional to 546.82, 754.20 and 380.95

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Solution

The fourth proportional to 546.82, 754.20 and 380.95 is: 525.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.82 : 754.20 = 380.95 : x
  2. Step 2: Convert to fraction form
    546.82/754.20 = 380.95/x
  3. Step 3: Cross multiply
    546.82x = 754.20 × 380.95
  4. Step 4: Simplify right side
    546.82x = 287,312.49
  5. Step 5: Solve for x
    x = 287,312.49/546.82
  6. Step 6: Final answer
    x = 525.42

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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.