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Finding the Fourth Proportional to 546.83, 754.64 and 310.79

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Solution

The fourth proportional to 546.83, 754.64 and 310.79 is: 428.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.83 : 754.64 = 310.79 : x
  2. Step 2: Convert to fraction form
    546.83/754.64 = 310.79/x
  3. Step 3: Cross multiply
    546.83x = 754.64 × 310.79
  4. Step 4: Simplify right side
    546.83x = 234,537.23
  5. Step 5: Solve for x
    x = 234,537.23/546.83
  6. Step 6: Final answer
    x = 428.90

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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.