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Finding the Fourth Proportional to 546.62, 754.43 and 325.64

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Solution

The fourth proportional to 546.62, 754.43 and 325.64 is: 449.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.62 : 754.43 = 325.64 : x
  2. Step 2: Convert to fraction form
    546.62/754.43 = 325.64/x
  3. Step 3: Cross multiply
    546.62x = 754.43 × 325.64
  4. Step 4: Simplify right side
    546.62x = 245,672.84
  5. Step 5: Solve for x
    x = 245,672.84/546.62
  6. Step 6: Final answer
    x = 449.44

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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.