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Finding the Fourth Proportional to 366.79, 547.11 and 327.91

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Solution

The fourth proportional to 366.79, 547.11 and 327.91 is: 489.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.79 : 547.11 = 327.91 : x
  2. Step 2: Convert to fraction form
    366.79/547.11 = 327.91/x
  3. Step 3: Cross multiply
    366.79x = 547.11 × 327.91
  4. Step 4: Simplify right side
    366.79x = 179,402.84
  5. Step 5: Solve for x
    x = 179,402.84/366.79
  6. Step 6: Final answer
    x = 489.12

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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.