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Finding the Fourth Proportional to 546.96, 754.71 and 310.84

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Solution

The fourth proportional to 546.96, 754.71 and 310.84 is: 428.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.96 : 754.71 = 310.84 : x
  2. Step 2: Convert to fraction form
    546.96/754.71 = 310.84/x
  3. Step 3: Cross multiply
    546.96x = 754.71 × 310.84
  4. Step 4: Simplify right side
    546.96x = 234,594.06
  5. Step 5: Solve for x
    x = 234,594.06/546.96
  6. Step 6: Final answer
    x = 428.91

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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.