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Finding the Fourth Proportional to 557.69, 769.86 and 371.48

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Solution

The fourth proportional to 557.69, 769.86 and 371.48 is: 512.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.69 : 769.86 = 371.48 : x
  2. Step 2: Convert to fraction form
    557.69/769.86 = 371.48/x
  3. Step 3: Cross multiply
    557.69x = 769.86 × 371.48
  4. Step 4: Simplify right side
    557.69x = 285,983.74
  5. Step 5: Solve for x
    x = 285,983.74/557.69
  6. Step 6: Final answer
    x = 512.81

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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.