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Finding the Fourth Proportional to 609.37, 840.47 and 515.97

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Solution

The fourth proportional to 609.37, 840.47 and 515.97 is: 711.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.37 : 840.47 = 515.97 : x
  2. Step 2: Convert to fraction form
    609.37/840.47 = 515.97/x
  3. Step 3: Cross multiply
    609.37x = 840.47 × 515.97
  4. Step 4: Simplify right side
    609.37x = 433,654.73
  5. Step 5: Solve for x
    x = 433,654.73/609.37
  6. Step 6: Final answer
    x = 711.65

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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.