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Finding the Fourth Proportional to 461.29, 691.94 and 201.11

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Solution

The fourth proportional to 461.29, 691.94 and 201.11 is: 301.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.29 : 691.94 = 201.11 : x
  2. Step 2: Convert to fraction form
    461.29/691.94 = 201.11/x
  3. Step 3: Cross multiply
    461.29x = 691.94 × 201.11
  4. Step 4: Simplify right side
    461.29x = 139,152.59
  5. Step 5: Solve for x
    x = 139,152.59/461.29
  6. Step 6: Final answer
    x = 301.66

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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.