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Finding the Fourth Proportional to 328.67, 453.79 and 204.52

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Solution

The fourth proportional to 328.67, 453.79 and 204.52 is: 282.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.67 : 453.79 = 204.52 : x
  2. Step 2: Convert to fraction form
    328.67/453.79 = 204.52/x
  3. Step 3: Cross multiply
    328.67x = 453.79 × 204.52
  4. Step 4: Simplify right side
    328.67x = 92,808.11
  5. Step 5: Solve for x
    x = 92,808.11/328.67
  6. Step 6: Final answer
    x = 282.37

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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.