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Finding the Fourth Proportional to 605.82, 908.98 and 410.70

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Solution

The fourth proportional to 605.82, 908.98 and 410.70 is: 616.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.82 : 908.98 = 410.70 : x
  2. Step 2: Convert to fraction form
    605.82/908.98 = 410.70/x
  3. Step 3: Cross multiply
    605.82x = 908.98 × 410.70
  4. Step 4: Simplify right side
    605.82x = 373,318.09
  5. Step 5: Solve for x
    x = 373,318.09/605.82
  6. Step 6: Final answer
    x = 616.22

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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.