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Finding the Fourth Proportional to 605.24, 835.60 and 416.49

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Solution

The fourth proportional to 605.24, 835.60 and 416.49 is: 575.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.24 : 835.60 = 416.49 : x
  2. Step 2: Convert to fraction form
    605.24/835.60 = 416.49/x
  3. Step 3: Cross multiply
    605.24x = 835.60 × 416.49
  4. Step 4: Simplify right side
    605.24x = 348,019.04
  5. Step 5: Solve for x
    x = 348,019.04/605.24
  6. Step 6: Final answer
    x = 575.01

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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.