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Finding the Fourth Proportional to 605.10, 908.37 and 412.14

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Solution

The fourth proportional to 605.10, 908.37 and 412.14 is: 618.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.10 : 908.37 = 412.14 : x
  2. Step 2: Convert to fraction form
    605.10/908.37 = 412.14/x
  3. Step 3: Cross multiply
    605.10x = 908.37 × 412.14
  4. Step 4: Simplify right side
    605.10x = 374,375.61
  5. Step 5: Solve for x
    x = 374,375.61/605.10
  6. Step 6: Final answer
    x = 618.70

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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.