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Finding the Fourth Proportional to 546.27, 752.97 and 349.44

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Solution

The fourth proportional to 546.27, 752.97 and 349.44 is: 481.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.27 : 752.97 = 349.44 : x
  2. Step 2: Convert to fraction form
    546.27/752.97 = 349.44/x
  3. Step 3: Cross multiply
    546.27x = 752.97 × 349.44
  4. Step 4: Simplify right side
    546.27x = 263,117.84
  5. Step 5: Solve for x
    x = 263,117.84/546.27
  6. Step 6: Final answer
    x = 481.66

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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.