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Finding the Fourth Proportional to 605.17, 835.07 and 339.56

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Solution

The fourth proportional to 605.17, 835.07 and 339.56 is: 468.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.17 : 835.07 = 339.56 : x
  2. Step 2: Convert to fraction form
    605.17/835.07 = 339.56/x
  3. Step 3: Cross multiply
    605.17x = 835.07 × 339.56
  4. Step 4: Simplify right side
    605.17x = 283,557.78
  5. Step 5: Solve for x
    x = 283,557.78/605.17
  6. Step 6: Final answer
    x = 468.56

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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.