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Finding the Fourth Proportional to 366.24, 546.52 and 327.31

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Solution

The fourth proportional to 366.24, 546.52 and 327.31 is: 488.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.24 : 546.52 = 327.31 : x
  2. Step 2: Convert to fraction form
    366.24/546.52 = 327.31/x
  3. Step 3: Cross multiply
    366.24x = 546.52 × 327.31
  4. Step 4: Simplify right side
    366.24x = 178,878.73
  5. Step 5: Solve for x
    x = 178,878.73/366.24
  6. Step 6: Final answer
    x = 488.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.