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Finding the Fourth Proportional to 328.95, 453.81 and 204.57

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Solution

The fourth proportional to 328.95, 453.81 and 204.57 is: 282.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.95 : 453.81 = 204.57 : x
  2. Step 2: Convert to fraction form
    328.95/453.81 = 204.57/x
  3. Step 3: Cross multiply
    328.95x = 453.81 × 204.57
  4. Step 4: Simplify right side
    328.95x = 92,835.91
  5. Step 5: Solve for x
    x = 92,835.91/328.95
  6. Step 6: Final answer
    x = 282.22

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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.