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Finding the Fourth Proportional to 605.46, 835.41 and 418.65

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Solution

The fourth proportional to 605.46, 835.41 and 418.65 is: 577.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.46 : 835.41 = 418.65 : x
  2. Step 2: Convert to fraction form
    605.46/835.41 = 418.65/x
  3. Step 3: Cross multiply
    605.46x = 835.41 × 418.65
  4. Step 4: Simplify right side
    605.46x = 349,744.40
  5. Step 5: Solve for x
    x = 349,744.40/605.46
  6. Step 6: Final answer
    x = 577.65

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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.