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Finding the Fourth Proportional to 461.12, 691.84 and 299.12

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Solution

The fourth proportional to 461.12, 691.84 and 299.12 is: 448.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.12 : 691.84 = 299.12 : x
  2. Step 2: Convert to fraction form
    461.12/691.84 = 299.12/x
  3. Step 3: Cross multiply
    461.12x = 691.84 × 299.12
  4. Step 4: Simplify right side
    461.12x = 206,943.18
  5. Step 5: Solve for x
    x = 206,943.18/461.12
  6. Step 6: Final answer
    x = 448.78

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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.