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Finding the Fourth Proportional to 461.53, 691.79 and 201.23

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Solution

The fourth proportional to 461.53, 691.79 and 201.23 is: 301.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.53 : 691.79 = 201.23 : x
  2. Step 2: Convert to fraction form
    461.53/691.79 = 201.23/x
  3. Step 3: Cross multiply
    461.53x = 691.79 × 201.23
  4. Step 4: Simplify right side
    461.53x = 139,208.90
  5. Step 5: Solve for x
    x = 139,208.90/461.53
  6. Step 6: Final answer
    x = 301.62

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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.