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Finding the Fourth Proportional to 328.70, 453.72 and 204.29

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Solution

The fourth proportional to 328.70, 453.72 and 204.29 is: 281.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.70 : 453.72 = 204.29 : x
  2. Step 2: Convert to fraction form
    328.70/453.72 = 204.29/x
  3. Step 3: Cross multiply
    328.70x = 453.72 × 204.29
  4. Step 4: Simplify right side
    328.70x = 92,690.25
  5. Step 5: Solve for x
    x = 92,690.25/328.70
  6. Step 6: Final answer
    x = 281.99

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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.