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Finding the Fourth Proportional to 605.64, 835.98 and 409.08

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Solution

The fourth proportional to 605.64, 835.98 and 409.08 is: 564.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.64 : 835.98 = 409.08 : x
  2. Step 2: Convert to fraction form
    605.64/835.98 = 409.08/x
  3. Step 3: Cross multiply
    605.64x = 835.98 × 409.08
  4. Step 4: Simplify right side
    605.64x = 341,982.70
  5. Step 5: Solve for x
    x = 341,982.70/605.64
  6. Step 6: Final answer
    x = 564.66

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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.