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Finding the Fourth Proportional to 461.34, 691.38 and 299.16

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Solution

The fourth proportional to 461.34, 691.38 and 299.16 is: 448.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.34 : 691.38 = 299.16 : x
  2. Step 2: Convert to fraction form
    461.34/691.38 = 299.16/x
  3. Step 3: Cross multiply
    461.34x = 691.38 × 299.16
  4. Step 4: Simplify right side
    461.34x = 206,833.24
  5. Step 5: Solve for x
    x = 206,833.24/461.34
  6. Step 6: Final answer
    x = 448.33

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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.