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Finding the Fourth Proportional to 546.08, 752.96 and 349.52

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Solution

The fourth proportional to 546.08, 752.96 and 349.52 is: 481.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.08 : 752.96 = 349.52 : x
  2. Step 2: Convert to fraction form
    546.08/752.96 = 349.52/x
  3. Step 3: Cross multiply
    546.08x = 752.96 × 349.52
  4. Step 4: Simplify right side
    546.08x = 263,174.58
  5. Step 5: Solve for x
    x = 263,174.58/546.08
  6. Step 6: Final answer
    x = 481.93

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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.