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Finding the Fourth Proportional to 609.36, 913.98 and 493.17

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Solution

The fourth proportional to 609.36, 913.98 and 493.17 is: 739.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.36 : 913.98 = 493.17 : x
  2. Step 2: Convert to fraction form
    609.36/913.98 = 493.17/x
  3. Step 3: Cross multiply
    609.36x = 913.98 × 493.17
  4. Step 4: Simplify right side
    609.36x = 450,747.52
  5. Step 5: Solve for x
    x = 450,747.52/609.36
  6. Step 6: Final answer
    x = 739.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.