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Finding the Fourth Proportional to 366.54, 546.44 and 325.23

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Solution

The fourth proportional to 366.54, 546.44 and 325.23 is: 484.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.54 : 546.44 = 325.23 : x
  2. Step 2: Convert to fraction form
    366.54/546.44 = 325.23/x
  3. Step 3: Cross multiply
    366.54x = 546.44 × 325.23
  4. Step 4: Simplify right side
    366.54x = 177,718.68
  5. Step 5: Solve for x
    x = 177,718.68/366.54
  6. Step 6: Final answer
    x = 484.85

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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.