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Finding the Fourth Proportional to 461.38, 691.26 and 266.14

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Solution

The fourth proportional to 461.38, 691.26 and 266.14 is: 398.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.38 : 691.26 = 266.14 : x
  2. Step 2: Convert to fraction form
    461.38/691.26 = 266.14/x
  3. Step 3: Cross multiply
    461.38x = 691.26 × 266.14
  4. Step 4: Simplify right side
    461.38x = 183,971.94
  5. Step 5: Solve for x
    x = 183,971.94/461.38
  6. Step 6: Final answer
    x = 398.74

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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.