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Finding the Fourth Proportional to 546.80, 754.45 and 310.75

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Solution

The fourth proportional to 546.80, 754.45 and 310.75 is: 428.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.80 : 754.45 = 310.75 : x
  2. Step 2: Convert to fraction form
    546.80/754.45 = 310.75/x
  3. Step 3: Cross multiply
    546.80x = 754.45 × 310.75
  4. Step 4: Simplify right side
    546.80x = 234,442.67
  5. Step 5: Solve for x
    x = 234,442.67/546.80
  6. Step 6: Final answer
    x = 428.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.