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Finding the Fourth Proportional to 366.92, 546.46 and 362.60

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Solution

The fourth proportional to 366.92, 546.46 and 362.60 is: 540.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.92 : 546.46 = 362.60 : x
  2. Step 2: Convert to fraction form
    366.92/546.46 = 362.60/x
  3. Step 3: Cross multiply
    366.92x = 546.46 × 362.60
  4. Step 4: Simplify right side
    366.92x = 198,146.40
  5. Step 5: Solve for x
    x = 198,146.40/366.92
  6. Step 6: Final answer
    x = 540.03

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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.