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Finding the Fourth Proportional to 461.32, 691.94 and 201.24

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Solution

The fourth proportional to 461.32, 691.94 and 201.24 is: 301.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.32 : 691.94 = 201.24 : x
  2. Step 2: Convert to fraction form
    461.32/691.94 = 201.24/x
  3. Step 3: Cross multiply
    461.32x = 691.94 × 201.24
  4. Step 4: Simplify right side
    461.32x = 139,246.01
  5. Step 5: Solve for x
    x = 139,246.01/461.32
  6. Step 6: Final answer
    x = 301.84

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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.