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Finding the Fourth Proportional to 461.67, 635.67 and 406.14

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Solution

The fourth proportional to 461.67, 635.67 and 406.14 is: 559.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.67 : 635.67 = 406.14 : x
  2. Step 2: Convert to fraction form
    461.67/635.67 = 406.14/x
  3. Step 3: Cross multiply
    461.67x = 635.67 × 406.14
  4. Step 4: Simplify right side
    461.67x = 258,171.01
  5. Step 5: Solve for x
    x = 258,171.01/461.67
  6. Step 6: Final answer
    x = 559.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.