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Finding the Fourth Proportional to 546.40, 754.18 and 336.75

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Solution

The fourth proportional to 546.40, 754.18 and 336.75 is: 464.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.40 : 754.18 = 336.75 : x
  2. Step 2: Convert to fraction form
    546.40/754.18 = 336.75/x
  3. Step 3: Cross multiply
    546.40x = 754.18 × 336.75
  4. Step 4: Simplify right side
    546.40x = 253,972.63
  5. Step 5: Solve for x
    x = 253,972.63/546.40
  6. Step 6: Final answer
    x = 464.81

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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.