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Finding the Fourth Proportional to 557.69, 768.87 and 446.97

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Solution

The fourth proportional to 557.69, 768.87 and 446.97 is: 616.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.69 : 768.87 = 446.97 : x
  2. Step 2: Convert to fraction form
    557.69/768.87 = 446.97/x
  3. Step 3: Cross multiply
    557.69x = 768.87 × 446.97
  4. Step 4: Simplify right side
    557.69x = 343,659.13
  5. Step 5: Solve for x
    x = 343,659.13/557.69
  6. Step 6: Final answer
    x = 616.22

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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.