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Finding the Fourth Proportional to 328.20, 452.54 and 286.68

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Solution

The fourth proportional to 328.20, 452.54 and 286.68 is: 395.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.20 : 452.54 = 286.68 : x
  2. Step 2: Convert to fraction form
    328.20/452.54 = 286.68/x
  3. Step 3: Cross multiply
    328.20x = 452.54 × 286.68
  4. Step 4: Simplify right side
    328.20x = 129,732.73
  5. Step 5: Solve for x
    x = 129,732.73/328.20
  6. Step 6: Final answer
    x = 395.29

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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.