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Finding the Fourth Proportional to 546.91, 754.48 and 325.78

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Solution

The fourth proportional to 546.91, 754.48 and 325.78 is: 449.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.91 : 754.48 = 325.78 : x
  2. Step 2: Convert to fraction form
    546.91/754.48 = 325.78/x
  3. Step 3: Cross multiply
    546.91x = 754.48 × 325.78
  4. Step 4: Simplify right side
    546.91x = 245,794.49
  5. Step 5: Solve for x
    x = 245,794.49/546.91
  6. Step 6: Final answer
    x = 449.42

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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.