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Finding the Fourth Proportional to 546.30, 752.97 and 349.50

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Solution

The fourth proportional to 546.30, 752.97 and 349.50 is: 481.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.30 : 752.97 = 349.50 : x
  2. Step 2: Convert to fraction form
    546.30/752.97 = 349.50/x
  3. Step 3: Cross multiply
    546.30x = 752.97 × 349.50
  4. Step 4: Simplify right side
    546.30x = 263,163.02
  5. Step 5: Solve for x
    x = 263,163.02/546.30
  6. Step 6: Final answer
    x = 481.72

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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.