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Finding the Fourth Proportional to 328.50, 453.15 and 204.09

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Solution

The fourth proportional to 328.50, 453.15 and 204.09 is: 281.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.50 : 453.15 = 204.09 : x
  2. Step 2: Convert to fraction form
    328.50/453.15 = 204.09/x
  3. Step 3: Cross multiply
    328.50x = 453.15 × 204.09
  4. Step 4: Simplify right side
    328.50x = 92,483.38
  5. Step 5: Solve for x
    x = 92,483.38/328.50
  6. Step 6: Final answer
    x = 281.53

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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.