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Finding the Fourth Proportional to 546.89, 754.87 and 350.40

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Solution

The fourth proportional to 546.89, 754.87 and 350.40 is: 483.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.89 : 754.87 = 350.40 : x
  2. Step 2: Convert to fraction form
    546.89/754.87 = 350.40/x
  3. Step 3: Cross multiply
    546.89x = 754.87 × 350.40
  4. Step 4: Simplify right side
    546.89x = 264,504.06
  5. Step 5: Solve for x
    x = 264,504.06/546.89
  6. Step 6: Final answer
    x = 483.65

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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.