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Finding the Fourth Proportional to 328.61, 453.39 and 204.28

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Solution

The fourth proportional to 328.61, 453.39 and 204.28 is: 281.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.61 : 453.39 = 204.28 : x
  2. Step 2: Convert to fraction form
    328.61/453.39 = 204.28/x
  3. Step 3: Cross multiply
    328.61x = 453.39 × 204.28
  4. Step 4: Simplify right side
    328.61x = 92,618.51
  5. Step 5: Solve for x
    x = 92,618.51/328.61
  6. Step 6: Final answer
    x = 281.85

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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.