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Finding the Fourth Proportional to 546.56, 754.28 and 310.50

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Solution

The fourth proportional to 546.56, 754.28 and 310.50 is: 428.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.56 : 754.28 = 310.50 : x
  2. Step 2: Convert to fraction form
    546.56/754.28 = 310.50/x
  3. Step 3: Cross multiply
    546.56x = 754.28 × 310.50
  4. Step 4: Simplify right side
    546.56x = 234,203.94
  5. Step 5: Solve for x
    x = 234,203.94/546.56
  6. Step 6: Final answer
    x = 428.51

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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.