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Finding the Fourth Proportional to 546.57, 754.29 and 325.65

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Solution

The fourth proportional to 546.57, 754.29 and 325.65 is: 449.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.57 : 754.29 = 325.65 : x
  2. Step 2: Convert to fraction form
    546.57/754.29 = 325.65/x
  3. Step 3: Cross multiply
    546.57x = 754.29 × 325.65
  4. Step 4: Simplify right side
    546.57x = 245,634.54
  5. Step 5: Solve for x
    x = 245,634.54/546.57
  6. Step 6: Final answer
    x = 449.41

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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.