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Finding the Fourth Proportional to 546.77, 754.44 and 310.72

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Solution

The fourth proportional to 546.77, 754.44 and 310.72 is: 428.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.77 : 754.44 = 310.72 : x
  2. Step 2: Convert to fraction form
    546.77/754.44 = 310.72/x
  3. Step 3: Cross multiply
    546.77x = 754.44 × 310.72
  4. Step 4: Simplify right side
    546.77x = 234,419.60
  5. Step 5: Solve for x
    x = 234,419.60/546.77
  6. Step 6: Final answer
    x = 428.74

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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.