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Finding the Fourth Proportional to 605.52, 835.71 and 343.53

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Solution

The fourth proportional to 605.52, 835.71 and 343.53 is: 474.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.52 : 835.71 = 343.53 : x
  2. Step 2: Convert to fraction form
    605.52/835.71 = 343.53/x
  3. Step 3: Cross multiply
    605.52x = 835.71 × 343.53
  4. Step 4: Simplify right side
    605.52x = 287,091.46
  5. Step 5: Solve for x
    x = 287,091.46/605.52
  6. Step 6: Final answer
    x = 474.12

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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.