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Finding the Fourth Proportional to 366.27, 546.59 and 327.35

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Solution

The fourth proportional to 366.27, 546.59 and 327.35 is: 488.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.27 : 546.59 = 327.35 : x
  2. Step 2: Convert to fraction form
    366.27/546.59 = 327.35/x
  3. Step 3: Cross multiply
    366.27x = 546.59 × 327.35
  4. Step 4: Simplify right side
    366.27x = 178,926.24
  5. Step 5: Solve for x
    x = 178,926.24/366.27
  6. Step 6: Final answer
    x = 488.51

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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.