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Finding the Fourth Proportional to 461.49, 691.71 and 201.41

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Solution

The fourth proportional to 461.49, 691.71 and 201.41 is: 301.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.49 : 691.71 = 201.41 : x
  2. Step 2: Convert to fraction form
    461.49/691.71 = 201.41/x
  3. Step 3: Cross multiply
    461.49x = 691.71 × 201.41
  4. Step 4: Simplify right side
    461.49x = 139,313.85
  5. Step 5: Solve for x
    x = 139,313.85/461.49
  6. Step 6: Final answer
    x = 301.88

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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.