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Finding the Fourth Proportional to 328.38, 453.17 and 204.04

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Solution

The fourth proportional to 328.38, 453.17 and 204.04 is: 281.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.38 : 453.17 = 204.04 : x
  2. Step 2: Convert to fraction form
    328.38/453.17 = 204.04/x
  3. Step 3: Cross multiply
    328.38x = 453.17 × 204.04
  4. Step 4: Simplify right side
    328.38x = 92,463.79
  5. Step 5: Solve for x
    x = 92,463.79/328.38
  6. Step 6: Final answer
    x = 281.58

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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.