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Finding the Fourth Proportional to 546.42, 754.12 and 325.36

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Solution

The fourth proportional to 546.42, 754.12 and 325.36 is: 449.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.42 : 754.12 = 325.36 : x
  2. Step 2: Convert to fraction form
    546.42/754.12 = 325.36/x
  3. Step 3: Cross multiply
    546.42x = 754.12 × 325.36
  4. Step 4: Simplify right side
    546.42x = 245,360.48
  5. Step 5: Solve for x
    x = 245,360.48/546.42
  6. Step 6: Final answer
    x = 449.03

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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.