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Finding the Fourth Proportional to 605.66, 835.80 and 409.21

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Solution

The fourth proportional to 605.66, 835.80 and 409.21 is: 564.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.66 : 835.80 = 409.21 : x
  2. Step 2: Convert to fraction form
    605.66/835.80 = 409.21/x
  3. Step 3: Cross multiply
    605.66x = 835.80 × 409.21
  4. Step 4: Simplify right side
    605.66x = 342,017.72
  5. Step 5: Solve for x
    x = 342,017.72/605.66
  6. Step 6: Final answer
    x = 564.70

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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.