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Finding the Fourth Proportional to 366.22, 546.50 and 327.29

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Solution

The fourth proportional to 366.22, 546.50 and 327.29 is: 488.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.22 : 546.50 = 327.29 : x
  2. Step 2: Convert to fraction form
    366.22/546.50 = 327.29/x
  3. Step 3: Cross multiply
    366.22x = 546.50 × 327.29
  4. Step 4: Simplify right side
    366.22x = 178,863.99
  5. Step 5: Solve for x
    x = 178,863.99/366.22
  6. Step 6: Final answer
    x = 488.41

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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.