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Finding the Fourth Proportional to 328.78, 453.66 and 204.48

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Solution

The fourth proportional to 328.78, 453.66 and 204.48 is: 282.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.78 : 453.66 = 204.48 : x
  2. Step 2: Convert to fraction form
    328.78/453.66 = 204.48/x
  3. Step 3: Cross multiply
    328.78x = 453.66 × 204.48
  4. Step 4: Simplify right side
    328.78x = 92,764.40
  5. Step 5: Solve for x
    x = 92,764.40/328.78
  6. Step 6: Final answer
    x = 282.15

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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.