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Finding the Fourth Proportional to 605.56, 835.84 and 409.02

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Solution

The fourth proportional to 605.56, 835.84 and 409.02 is: 564.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.56 : 835.84 = 409.02 : x
  2. Step 2: Convert to fraction form
    605.56/835.84 = 409.02/x
  3. Step 3: Cross multiply
    605.56x = 835.84 × 409.02
  4. Step 4: Simplify right side
    605.56x = 341,875.28
  5. Step 5: Solve for x
    x = 341,875.28/605.56
  6. Step 6: Final answer
    x = 564.56

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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.