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Finding the Fourth Proportional to 385.09, 576.42 and 202.23

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Solution

The fourth proportional to 385.09, 576.42 and 202.23 is: 302.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.09 : 576.42 = 202.23 : x
  2. Step 2: Convert to fraction form
    385.09/576.42 = 202.23/x
  3. Step 3: Cross multiply
    385.09x = 576.42 × 202.23
  4. Step 4: Simplify right side
    385.09x = 116,568.66
  5. Step 5: Solve for x
    x = 116,568.66/385.09
  6. Step 6: Final answer
    x = 302.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.