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Finding the Fourth Proportional to 367.25, 547.34 and 366.68

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Solution

The fourth proportional to 367.25, 547.34 and 366.68 is: 546.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.25 : 547.34 = 366.68 : x
  2. Step 2: Convert to fraction form
    367.25/547.34 = 366.68/x
  3. Step 3: Cross multiply
    367.25x = 547.34 × 366.68
  4. Step 4: Simplify right side
    367.25x = 200,697.15
  5. Step 5: Solve for x
    x = 200,697.15/367.25
  6. Step 6: Final answer
    x = 546.49

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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.