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Finding the Fourth Proportional to 605.52, 835.60 and 339.96

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Solution

The fourth proportional to 605.52, 835.60 and 339.96 is: 469.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.52 : 835.60 = 339.96 : x
  2. Step 2: Convert to fraction form
    605.52/835.60 = 339.96/x
  3. Step 3: Cross multiply
    605.52x = 835.60 × 339.96
  4. Step 4: Simplify right side
    605.52x = 284,072.86
  5. Step 5: Solve for x
    x = 284,072.86/605.52
  6. Step 6: Final answer
    x = 469.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.