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Finding the Fourth Proportional to 546.54, 753.60 and 359.97

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Solution

The fourth proportional to 546.54, 753.60 and 359.97 is: 496.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.54 : 753.60 = 359.97 : x
  2. Step 2: Convert to fraction form
    546.54/753.60 = 359.97/x
  3. Step 3: Cross multiply
    546.54x = 753.60 × 359.97
  4. Step 4: Simplify right side
    546.54x = 271,273.39
  5. Step 5: Solve for x
    x = 271,273.39/546.54
  6. Step 6: Final answer
    x = 496.35

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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.