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Finding the Fourth Proportional to 605.20, 835.20 and 356.53

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Solution

The fourth proportional to 605.20, 835.20 and 356.53 is: 492.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.20 : 835.20 = 356.53 : x
  2. Step 2: Convert to fraction form
    605.20/835.20 = 356.53/x
  3. Step 3: Cross multiply
    605.20x = 835.20 × 356.53
  4. Step 4: Simplify right side
    605.20x = 297,771.77
  5. Step 5: Solve for x
    x = 297,771.77/605.20
  6. Step 6: Final answer
    x = 492.02

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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.