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Finding the Fourth Proportional to 546.33, 754.18 and 380.49

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Solution

The fourth proportional to 546.33, 754.18 and 380.49 is: 525.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.33 : 754.18 = 380.49 : x
  2. Step 2: Convert to fraction form
    546.33/754.18 = 380.49/x
  3. Step 3: Cross multiply
    546.33x = 754.18 × 380.49
  4. Step 4: Simplify right side
    546.33x = 286,957.95
  5. Step 5: Solve for x
    x = 286,957.95/546.33
  6. Step 6: Final answer
    x = 525.25

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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.