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Finding the Fourth Proportional to 609.72, 912.48 and 512.31

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Solution

The fourth proportional to 609.72, 912.48 and 512.31 is: 766.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.72 : 912.48 = 512.31 : x
  2. Step 2: Convert to fraction form
    609.72/912.48 = 512.31/x
  3. Step 3: Cross multiply
    609.72x = 912.48 × 512.31
  4. Step 4: Simplify right side
    609.72x = 467,472.63
  5. Step 5: Solve for x
    x = 467,472.63/609.72
  6. Step 6: Final answer
    x = 766.70

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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.