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Finding the Fourth Proportional to 546.76, 754.48 and 310.72

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Solution

The fourth proportional to 546.76, 754.48 and 310.72 is: 428.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.76 : 754.48 = 310.72 : x
  2. Step 2: Convert to fraction form
    546.76/754.48 = 310.72/x
  3. Step 3: Cross multiply
    546.76x = 754.48 × 310.72
  4. Step 4: Simplify right side
    546.76x = 234,432.03
  5. Step 5: Solve for x
    x = 234,432.03/546.76
  6. Step 6: Final answer
    x = 428.77

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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.