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Finding the Fourth Proportional to 327.57, 452.33 and 265.74

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Solution

The fourth proportional to 327.57, 452.33 and 265.74 is: 366.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.57 : 452.33 = 265.74 : x
  2. Step 2: Convert to fraction form
    327.57/452.33 = 265.74/x
  3. Step 3: Cross multiply
    327.57x = 452.33 × 265.74
  4. Step 4: Simplify right side
    327.57x = 120,202.17
  5. Step 5: Solve for x
    x = 120,202.17/327.57
  6. Step 6: Final answer
    x = 366.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.