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Finding the Fourth Proportional to 327.60, 452.52 and 292.80

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Solution

The fourth proportional to 327.60, 452.52 and 292.80 is: 404.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.60 : 452.52 = 292.80 : x
  2. Step 2: Convert to fraction form
    327.60/452.52 = 292.80/x
  3. Step 3: Cross multiply
    327.60x = 452.52 × 292.80
  4. Step 4: Simplify right side
    327.60x = 132,497.86
  5. Step 5: Solve for x
    x = 132,497.86/327.60
  6. Step 6: Final answer
    x = 404.45

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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.