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Finding the Fourth Proportional to 328.39, 453.20 and 204.12

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Solution

The fourth proportional to 328.39, 453.20 and 204.12 is: 281.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.39 : 453.20 = 204.12 : x
  2. Step 2: Convert to fraction form
    328.39/453.20 = 204.12/x
  3. Step 3: Cross multiply
    328.39x = 453.20 × 204.12
  4. Step 4: Simplify right side
    328.39x = 92,506.16
  5. Step 5: Solve for x
    x = 92,506.16/328.39
  6. Step 6: Final answer
    x = 281.70

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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.