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Finding the Fourth Proportional to 546.71, 754.46 and 310.65

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Solution

The fourth proportional to 546.71, 754.46 and 310.65 is: 428.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.71 : 754.46 = 310.65 : x
  2. Step 2: Convert to fraction form
    546.71/754.46 = 310.65/x
  3. Step 3: Cross multiply
    546.71x = 754.46 × 310.65
  4. Step 4: Simplify right side
    546.71x = 234,374.86
  5. Step 5: Solve for x
    x = 234,374.86/546.71
  6. Step 6: Final answer
    x = 428.70

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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.