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Finding the Fourth Proportional to 546.70, 754.57 and 325.83

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Solution

The fourth proportional to 546.70, 754.57 and 325.83 is: 449.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.70 : 754.57 = 325.83 : x
  2. Step 2: Convert to fraction form
    546.70/754.57 = 325.83/x
  3. Step 3: Cross multiply
    546.70x = 754.57 × 325.83
  4. Step 4: Simplify right side
    546.70x = 245,858.58
  5. Step 5: Solve for x
    x = 245,858.58/546.70
  6. Step 6: Final answer
    x = 449.71

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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.